What is the Greatest Common Factor of 2931 and 2943?

Greatest common factor (GCF) of 2931 and 2943 is 3.

GCF(2931,2943) = 3

We will now calculate the prime factors of 2931 and 2943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2931 and 2943.

How to find the GCF of 2931 and 2943?

We will first find the prime factorization of 2931 and 2943. After we will calculate the factors of 2931 and 2943 and find the biggest common factor number .

Step-1: Prime Factorization of 2931

Prime factors of 2931 are 3, 977. Prime factorization of 2931 in exponential form is:

2931 = 3¹ × 977¹

Step-2: Prime Factorization of 2943

Prime factors of 2943 are 3, 109. Prime factorization of 2943 in exponential form is:

2943 = 3³ × 109¹

Step-3: Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1, 3, 977

Step-4: Factors of 2943

List of positive integer factors of 2943 that divides 2931 without a remainder.

1, 3, 9, 27, 109, 327, 981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2931 and 2943. The biggest common factor number is the GCF number.
So the greatest common factor 2931 and 2943 is 3.

Also check out the Least Common Multiple of 2931 and 2943