What is the Greatest Common Factor of 88928 and 88942?

Greatest common factor (GCF) of 88928 and 88942 is 14.

GCF(88928,88942) = 14

We will now calculate the prime factors of 88928 and 88942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88928 and 88942.

How to find the GCF of 88928 and 88942?

We will first find the prime factorization of 88928 and 88942. After we will calculate the factors of 88928 and 88942 and find the biggest common factor number .

Step-1: Prime Factorization of 88928

Prime factors of 88928 are 2, 7, 397. Prime factorization of 88928 in exponential form is:

88928 = 2⁵ × 7¹ × 397¹

Step-2: Prime Factorization of 88942

Prime factors of 88942 are 2, 7, 6353. Prime factorization of 88942 in exponential form is:

88942 = 2¹ × 7¹ × 6353¹

Step-3: Factors of 88928

List of positive integer factors of 88928 that divides 88928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 397, 794, 1588, 2779, 3176, 5558, 6352, 11116, 12704, 22232, 44464

Step-4: Factors of 88942

List of positive integer factors of 88942 that divides 88928 without a remainder.

1, 2, 7, 14, 6353, 12706, 44471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88928 and 88942. The biggest common factor number is the GCF number.
So the greatest common factor 88928 and 88942 is 14.

Also check out the Least Common Multiple of 88928 and 88942