What is the Greatest Common Factor of 8931 and 8943?

Greatest common factor (GCF) of 8931 and 8943 is 3.

GCF(8931,8943) = 3

We will now calculate the prime factors of 8931 and 8943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8931 and 8943.

How to find the GCF of 8931 and 8943?

We will first find the prime factorization of 8931 and 8943. After we will calculate the factors of 8931 and 8943 and find the biggest common factor number .

Step-1: Prime Factorization of 8931

Prime factors of 8931 are 3, 13, 229. Prime factorization of 8931 in exponential form is:

8931 = 3¹ × 13¹ × 229¹

Step-2: Prime Factorization of 8943

Prime factors of 8943 are 3, 11, 271. Prime factorization of 8943 in exponential form is:

8943 = 3¹ × 11¹ × 271¹

Step-3: Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1, 3, 13, 39, 229, 687, 2977

Step-4: Factors of 8943

List of positive integer factors of 8943 that divides 8931 without a remainder.

1, 3, 11, 33, 271, 813, 2981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8931 and 8943. The biggest common factor number is the GCF number.
So the greatest common factor 8931 and 8943 is 3.

Also check out the Least Common Multiple of 8931 and 8943