What is the Greatest Common Factor of 8931 and 8940?

Greatest common factor (GCF) of 8931 and 8940 is 3.

GCF(8931,8940) = 3

We will now calculate the prime factors of 8931 and 8940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8931 and 8940.

How to find the GCF of 8931 and 8940?

We will first find the prime factorization of 8931 and 8940. After we will calculate the factors of 8931 and 8940 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 8940

Prime factors of 8940 are 2, 3, 5, 149. Prime factorization of 8940 in exponential form is:

8940 = 2² × 3¹ × 5¹ × 149¹

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 8940

List of positive integer factors of 8940 that divides 8931 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8931 and 8940. The biggest common factor number is the GCF number.
So the greatest common factor 8931 and 8940 is 3.

Also check out the Least Common Multiple of 8931 and 8940