What is the greatest common factor of 8 and 49?

First, you must find the factors of each number. The factors of 49 are {1, 7, 49} because [1 x 49] and [7 x 7] are the only ways to make 49 using multiplication. The factors of 8 are {1, 2, 4, 8} because [1 x 8] and [2 x 4] are the only ways to make 8 using multiplication. The Greatest Common Factor is {1} because 1 is the only number included in both the factors of 8 and the factors of 49. Alternate Method:

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 8 are 2, 2, and 2.

The prime factors of 49 are 7 and 7.

There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.