What is the Greatest Common Factor of 7931 and 7942?

Greatest common factor (GCF) of 7931 and 7942 is 11.

GCF(7931,7942) = 11

We will now calculate the prime factors of 7931 and 7942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7931 and 7942.

How to find the GCF of 7931 and 7942?

We will first find the prime factorization of 7931 and 7942. After we will calculate the factors of 7931 and 7942 and find the biggest common factor number .

Step-1: Prime Factorization of 7931

Prime factors of 7931 are 7, 11, 103. Prime factorization of 7931 in exponential form is:

7931 = 7¹ × 11¹ × 103¹

Step-2: Prime Factorization of 7942

Prime factors of 7942 are 2, 11, 19. Prime factorization of 7942 in exponential form is:

7942 = 2¹ × 11¹ × 19²

Step-3: Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1, 7, 11, 77, 103, 721, 1133

Step-4: Factors of 7942

List of positive integer factors of 7942 that divides 7931 without a remainder.

1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7931 and 7942. The biggest common factor number is the GCF number.
So the greatest common factor 7931 and 7942 is 11.

Also check out the Least Common Multiple of 7931 and 7942