What is the Greatest Common Factor of 7968 and 7980?

Greatest common factor (GCF) of 7968 and 7980 is 12.

GCF(7968,7980) = 12

We will now calculate the prime factors of 7968 and 7980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7968 and 7980.

How to find the GCF of 7968 and 7980?

We will first find the prime factorization of 7968 and 7980. After we will calculate the factors of 7968 and 7980 and find the biggest common factor number .

Step-1: Prime Factorization of 7968

Prime factors of 7968 are 2, 3, 83. Prime factorization of 7968 in exponential form is:

7968 = 2⁵ × 3¹ × 83¹

Step-2: Prime Factorization of 7980

Prime factors of 7980 are 2, 3, 5, 7, 19. Prime factorization of 7980 in exponential form is:

7980 = 2² × 3¹ × 5¹ × 7¹ × 19¹

Step-3: Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984

Step-4: Factors of 7980

List of positive integer factors of 7980 that divides 7968 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7968 and 7980. The biggest common factor number is the GCF number.
So the greatest common factor 7968 and 7980 is 12.

Also check out the Least Common Multiple of 7968 and 7980