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# Highest common factor

What is the common factor of 96 of 124

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Math is fun has a great article on how to find the GCF of two numbers:

http://www.mathsisfun.com/greatest-common-factor.html

To find the common factors, you have to list all factors of both numbers:
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
124: 1, 2, 4, 31, 62, 124

Posted on Nov 03, 2013

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## Related Questions:

### Please explain how you do ratios

A ratio can be simplified by dividing both sides of the ratio by the Highest Common Factor (HCF). The highest common factor is the largest number that goes into both numbers of your ratio. In example 1 you are asked to simplify the ratio 6:8. Here the HCF is 2 so divide both sides of the ratio by 2 to give 3:4.

Mar 04, 2015 | The Learning Company Achieve! Math &...

### 1.71 to 4.56 ratio simpify

1.71/4.56 ratio simplified.

First, let's clean it up by multiplying top (numerator) and bottom (denominated) by 100. Now we have 171/456.

Next, I use an old trick. If you add up the digits in a number and the answer is divisible by 3, the number is divisible by 3.

1+7+1 = 9 and 9 is evenly divisible by 3, so 171 is divisible by 3.

Similarly, with 456, 4+5+6 = 15 and 3 goes evenly into 15, so 3 goes in evenly to 15. Alternatively, we can take the answer 15, and go 1+5 = 6 and 3 goes evenly into 6 so 3 goes evenly into 456.

171 ÷ 3 = 57
----- ----
456 ÷ 3 = 152

Since is 57, 5+7 = 12 and 1+2 =3, 3 goes into 57 19 times.
Since 152 is even, factors are 2 and 76. Factoring 76, 2 and 38. Factoring 38, 2 and 19. So 152 is 2 x 2 x 2 x 19.

Since 19 is common, we can divide top (numerator) and bottom (denominated) by 19.

57 ÷ 19 = 3
--- ----
152 ÷ 19 = 8

Thus, the final answer is 3/8.

Alternatively, you can factor 171 and 456 and divide by the highest common factor, which are the factors that are common to both.

Feb 22, 2015 | Office Equipment & Supplies

### Ways to find highest common factors?

Do a prime factorization of the two numbers. Use condensed (power) notation for each prime factor.
Example
N1=(2^5)*(3^4)*(7^2)(11^3)
N2=(2^4)*(5^6)*(11)
2 is a factor in N1 and N2, the smallest power of 2 is 4, thus 2^4 is common to N1, and N1. You could write 2^5=2*2^4
11 is a factor in N1, and N2, the smallest exponent of 11 is 1, thus 11 is a common factor of N1 and N2.
Highest common factor of N1 and N2 is (2^4)*11

Sep 02, 2014 | Mathsoft Computers & Internet

### My casio fx-83GT Plus calculator wont do HCF for me

There is nothing you can do to make the calculator find the HCF for you. No point complaining about that. But if you are interested in doing it by hand (using the calculator to do the divisions for you) here how it is done.
1. Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation: That helps.
2. Decompose the second number in prime factors too, using the exponent notation.
3. Now look at the two decompositions. If a prime factor is present in both decompositions it must be in the HCD /HCF, with the smallest of its two exponents.
4. Do that for all prime factors
Example: Here are the decompositions of two numbers
(2^5)*3*(5^4)(7^3)*11 and (2^3)*(5^6)*(11^2)*7
The prime factors that are present in both decompositions are
2, 5, 7, and 11
From the two decompositions select the smallest power of each common prime factor. They are represented in bold fonts.
2^3, 5^4, 7, 11
The highest common divisor/Highest common factor is
(2^3)*(5^4)*7*11

Mar 27, 2014 | Casio Office Equipment & Supplies

### Can you do the highest common factor on an fx-83GT PLUS casio calculator

The calculator has no application that will find the highest common divisor (or HCF) but that should not be difficult to do by hand.
Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation: That helps
Decompose the second number in prime factors too, using the exponent notation.
Now look at the two decompositions. If a prime factor is present in both decomposition it must be in the HCD /HCF, with the smallest of the two exponents. Do that for all prime factors
Example;
(2^5)*3*(5^4)(7^3)*11
(2^3)*(5^6)*(11^2)*7
The prime factors that are present in both decompositions are
2, 5, 7, and 11
From the two decompositions select the smallest power of each
2^3, 5^4, 7, 11
The highest common divisor/Highest common factor is
(2^3)*(5^4)*7*11

Mar 27, 2014 | Casio Office Equipment & Supplies

### What is the greatest common factor of 72 and 132

First of all, thank you very much for choosing FIXYA today for your online technical support needs.

12 is the highest common factor between those two numbers.

12 multiplied by 6 equals 72.

12 multiplied by 11 equals 132.

I truly hope that was helpful to you.
Good luck and take care.

Joe.

Jan 18, 2012 | Android Apps

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