Factors of 100

The common factor is 11.

The greatest common factor is 14.

Normally, we look for the greatest common factor and the least common multiple.

To find the least common factor, we have to factor both numbers and see what the least common factor is. However, we know the one set of factors for every number is itself and one. For example, 56 and 49.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.
The factors of 49 are 1, 7, 49.

What is the least common factor of both numbers? 1

So the least common factor of any two numbers is 1.

Any questions, let me know.

Good luck,

Paul

There is a program on page 253 of the manual (http://support.casio.com/manualfile.php?rgn=5&cid=004002013) to get the prime factors of any number. You could modify the program to get all the factors.

Another way would be to do it manually. I start with the number 1 and go up to the square root of the number. The square root of 120 is 10.95, so let's go up to 11. Using 120 as an example:

120 /1 = 120 thus factor is (1, 120)
120/2 = 60 thus factor is (2, 60)
120/3 = 40 thus factor is (3, 40)
120/4 = 30 thus factor is (4, 30)
120/5 = 24 thus factor is (5, 24)
120/6 = 20 thus factor is (6, 20)
120/7 = 1.7 thus 7 not a factor
120/8 = 15 thus factor is (8,15)
120/9 = 13.3 thus 9 is not a factor
120/10 = 12 thus factor is (10,12)
120/11 = 10.9 thus 11 is not a factor.

Good luck.

Paul