What is the Greatest Common Factor of 7924 and 7931?

Greatest common factor (GCF) of 7924 and 7931 is 7.

GCF(7924,7931) = 7

We will now calculate the prime factors of 7924 and 7931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7924 and 7931.

How to find the GCF of 7924 and 7931?

We will first find the prime factorization of 7924 and 7931. After we will calculate the factors of 7924 and 7931 and find the biggest common factor number .

Step-1: Prime Factorization of 7924

Prime factors of 7924 are 2, 7, 283. Prime factorization of 7924 in exponential form is:

7924 = 2² × 7¹ × 283¹

Step-2: 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-3: Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962

Step-4: Factors of 7931

List of positive integer factors of 7931 that divides 7924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7924 and 7931. The biggest common factor number is the GCF number.
So the greatest common factor 7924 and 7931 is 7.

Also check out the Least Common Multiple of 7924 and 7931