What is the Greatest Common Factor of 8919 and 8931?

Greatest common factor (GCF) of 8919 and 8931 is 3.

GCF(8919,8931) = 3

We will now calculate the prime factors of 8919 and 8931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8919 and 8931.

How to find the GCF of 8919 and 8931?

We will first find the prime factorization of 8919 and 8931. After we will calculate the factors of 8919 and 8931 and find the biggest common factor number .

Step-1: Prime Factorization of 8919

Prime factors of 8919 are 3, 991. Prime factorization of 8919 in exponential form is:

8919 = 3² × 991¹

Step-2: 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-3: Factors of 8919

List of positive integer factors of 8919 that divides 8919 without a remainder.

1, 3, 9, 991, 2973

Step-4: Factors of 8931

List of positive integer factors of 8931 that divides 8919 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8919 and 8931. The biggest common factor number is the GCF number.
So the greatest common factor 8919 and 8931 is 3.

Also check out the Least Common Multiple of 8919 and 8931