What is the Greatest Common Factor of 88926 and 88938?

Greatest common factor (GCF) of 88926 and 88938 is 6.

GCF(88926,88938) = 6

We will now calculate the prime factors of 88926 and 88938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88926 and 88938.

How to find the GCF of 88926 and 88938?

We will first find the prime factorization of 88926 and 88938. After we will calculate the factors of 88926 and 88938 and find the biggest common factor number .

Step-1: Prime Factorization of 88926

Prime factors of 88926 are 2, 3, 14821. Prime factorization of 88926 in exponential form is:

88926 = 2¹ × 3¹ × 14821¹

Step-2: Prime Factorization of 88938

Prime factors of 88938 are 2, 3, 61. Prime factorization of 88938 in exponential form is:

88938 = 2¹ × 3⁶ × 61¹

Step-3: Factors of 88926

List of positive integer factors of 88926 that divides 88926 without a remainder.

1, 2, 3, 6, 14821, 29642, 44463

Step-4: Factors of 88938

List of positive integer factors of 88938 that divides 88926 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 243, 366, 486, 549, 729, 1098, 1458, 1647, 3294, 4941, 9882, 14823, 29646, 44469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88926 and 88938. The biggest common factor number is the GCF number.
So the greatest common factor 88926 and 88938 is 6.

Also check out the Least Common Multiple of 88926 and 88938