What is the Greatest Common Factor of 7924 and 7936?

Greatest common factor (GCF) of 7924 and 7936 is 4.

GCF(7924,7936) = 4

We will now calculate the prime factors of 7924 and 7936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7924 and 7936.

How to find the GCF of 7924 and 7936?

We will first find the prime factorization of 7924 and 7936. After we will calculate the factors of 7924 and 7936 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 7936

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

7936 = 2⁸ × 31¹

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 7936

List of positive integer factors of 7936 that divides 7924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7924 and 7936. The biggest common factor number is the GCF number.
So the greatest common factor 7924 and 7936 is 4.

Also check out the Least Common Multiple of 7924 and 7936