What is the Greatest Common Factor of 7936 and 7942?

Greatest common factor (GCF) of 7936 and 7942 is 2.

GCF(7936,7942) = 2

We will now calculate the prime factors of 7936 and 7942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7936 and 7942.

How to find the GCF of 7936 and 7942?

We will first find the prime factorization of 7936 and 7942. After we will calculate the factors of 7936 and 7942 and find the biggest common factor number .

Step-1: Prime Factorization of 7936

Prime factors of 7936 are 2, 31. Prime factorization of 7936 in exponential form is:

7936 = 2⁸ × 31¹

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 7936

List of positive integer factors of 7936 that divides 7936 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968

Step-4: Factors of 7942

List of positive integer factors of 7942 that divides 7936 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 7936 and 7942. The biggest common factor number is the GCF number.
So the greatest common factor 7936 and 7942 is 2.

Also check out the Least Common Multiple of 7936 and 7942