What number can go into 32 and 100?

Answer 1

First, find the prime factorization of both numbers:

32 = 8 X 4 = 2 X 4 X 2 X 2 = 2 X 2 X 2 X 2 X 2.

100 = 2 X 50 = 2 X 2 X 25 = 2 X 2 X 5 X 5.

Next, discard any numbers, or multiples of numbers, that aren't shared between those two prime factorizations. That leaves:

2 X 2.

Finally, find all possible products between those numbers:

2 X 2 = 4.

So, your answer includes: any shared numbers from the prime factorizations, any products from those shared numbers, and the number 1.

1, 2, 4