What is the Greatest Common Factor of 77931 and 77943?

Greatest common factor (GCF) of 77931 and 77943 is 3.

GCF(77931,77943) = 3

We will now calculate the prime factors of 77931 and 77943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77931 and 77943.

How to find the GCF of 77931 and 77943?

We will first find the prime factorization of 77931 and 77943. After we will calculate the factors of 77931 and 77943 and find the biggest common factor number .

Step-1: Prime Factorization of 77931

Prime factors of 77931 are 3, 7, 1237. Prime factorization of 77931 in exponential form is:

77931 = 3² × 7¹ × 1237¹

Step-2: Prime Factorization of 77943

Prime factors of 77943 are 3, 25981. Prime factorization of 77943 in exponential form is:

77943 = 3¹ × 25981¹

Step-3: Factors of 77931

List of positive integer factors of 77931 that divides 77931 without a remainder.

1, 3, 7, 9, 21, 63, 1237, 3711, 8659, 11133, 25977

Step-4: Factors of 77943

List of positive integer factors of 77943 that divides 77931 without a remainder.

1, 3, 25981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77931 and 77943. The biggest common factor number is the GCF number.
So the greatest common factor 77931 and 77943 is 3.

Also check out the Least Common Multiple of 77931 and 77943