Factor question?

Question

This question was asked;
"What is the greatest common factor of 60 and 100?" I don't understand some of the answers. Is it anything that divides into both 60 and 100 but has to be the highest possible factor divisible by both?

Answer 1

A greatest common factor (GCF) is the greatest integer less than the smallest of the numbers that can be divided into all of the numbers. The method of finding it: prime factorization

60 = 2*2*3*5
100 = 2*2*5*5

find the COMMON FACTORS

2, 2, and 5 are the common factors, so the GCF is 2*2*5=20

Answer 2

The greatest common factor of a and b is the greatest number that will go into both a and b without a remainder.

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

As you can see the greatest number that will go into 60 and 100 is 20.

So 20 is the greatest common factor.

Answer 3

The answer to your question is yes. The greatest common factor (GCF) is the largest whole number you can multiply another whole number by and get both 60 and 100.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
You can pair each of those up with exactly one other number to make a product of 60.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Same rule applies here, but remember that 10 x 10 is 100 so its only listed once.

So what the largest number that exists in both of those lists??

That's the greatest common factor!

Answer 4

factors of
60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

so the common factors are 1, 2, 4, 5, 10 and 20
from these number it is therefore so obvious that 20 is the GREATEST COMMON

Answer 5

Factors of 60: 60, 30, 20, .....
Factors of 100: 100, 50, 25, 20, .....

So, greatest common factor is 20.

Answer 6

20

Answer 7

Factor 60 and also factor 100.

60 - 5 * 3 * 2 * 2
100 - 5 * 5 * 2 * 2

Now find the factors that are "common" to both sets of factors. You see that 5 * 2 * 2 appears in both sets. The answer is 20.

Answer 8

Higest factor for both
60=20*3
100=20*5
greatest common factor is 20.

Answer 9

yes, you are right. It is 20

To do this write each number with its prime number

60 = 2^2 * 3 * 5
100 = 2^2 * 5^2

Now you take the common factors and multiply them and that's it.

2^2 * 5 = 20

Answer 10

20.