Question

Find the greatest common factor!
Please help with these 2 questions

Answer 1

Hello!

The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common

12: 1,12,2,6,3,4

33:1,33,3,11,

As you can see, the greatest number these two have in common is 3.

Now for the next set.

45: 1,45,3,15,5,9

70:1,70,2,35,5,14,7,10

As you can see, our GCF is 5.

Therefore, our answers are below.

9) 3

10) 5

I hope this helps!

Answer 2

To find the GCF: 1) Find the prime factorizations. 2) Use only common factors with smaller exponent. 3) Multiply them together.

Problem 9.

12 = 2^2 * 3; 33 = 23 * 11

The only common factor is 3

Answer: 3

Problem 10.

45 = 3^2 * 5; 70 = 2 * 5 * 7

Common factor: 5

Answer: 5