What is the greatest common factor of 296 and 375?

Answer 1

The GCF of 296 and 375 is 1.

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

The prime factors of 296 are 2, 2, 2, and 37.

The prime factors of 375 are 3, 5, 5, and 5.

They have no prime factors in common, so they are relatively prime, which means their greatest common factor is 1.

Another way to approach this is to look at the difference between 296 and 375, which is 79. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 79 is a Prime number, the greatest common factor must be either 1 or 79. Since the numbers are not divisible by 79, the greatest common factor is 1.