What is the Greatest Common Factor of 7984 and 7992?

Greatest common factor (GCF) of 7984 and 7992 is 8.

GCF(7984,7992) = 8

We will now calculate the prime factors of 7984 and 7992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7984 and 7992.

How to find the GCF of 7984 and 7992?

We will first find the prime factorization of 7984 and 7992. After we will calculate the factors of 7984 and 7992 and find the biggest common factor number .

Step-1: Prime Factorization of 7984

Prime factors of 7984 are 2, 499. Prime factorization of 7984 in exponential form is:

7984 = 2⁴ × 499¹

Step-2: Prime Factorization of 7992

Prime factors of 7992 are 2, 3, 37. Prime factorization of 7992 in exponential form is:

7992 = 2³ × 3³ × 37¹

Step-3: Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992

Step-4: Factors of 7992

List of positive integer factors of 7992 that divides 7984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7984 and 7992. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 7992 is 8.

Also check out the Least Common Multiple of 7984 and 7992