What is the Greatest Common Factor of 88926 and 88941?

Greatest common factor (GCF) of 88926 and 88941 is 3.

GCF(88926,88941) = 3

We will now calculate the prime factors of 88926 and 88941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88926 and 88941.

How to find the GCF of 88926 and 88941?

We will first find the prime factorization of 88926 and 88941. After we will calculate the factors of 88926 and 88941 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 88941

Prime factors of 88941 are 3, 23, 1289. Prime factorization of 88941 in exponential form is:

88941 = 3¹ × 23¹ × 1289¹

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 88941

List of positive integer factors of 88941 that divides 88926 without a remainder.

1, 3, 23, 69, 1289, 3867, 29647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88926 and 88941. The biggest common factor number is the GCF number.
So the greatest common factor 88926 and 88941 is 3.

Also check out the Least Common Multiple of 88926 and 88941