What is the Greatest Common Factor of 7980 and 7986?

Greatest common factor (GCF) of 7980 and 7986 is 6.

GCF(7980,7986) = 6

We will now calculate the prime factors of 7980 and 7986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7980 and 7986.

How to find the GCF of 7980 and 7986?

We will first find the prime factorization of 7980 and 7986. After we will calculate the factors of 7980 and 7986 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7986

Prime factors of 7986 are 2, 3, 11. Prime factorization of 7986 in exponential form is:

7986 = 2¹ × 3¹ × 11³

Step-3: Factors of 7980

List of positive integer factors of 7980 that divides 7980 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

Step-4: Factors of 7986

List of positive integer factors of 7986 that divides 7980 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7980 and 7986. The biggest common factor number is the GCF number.
So the greatest common factor 7980 and 7986 is 6.

Also check out the Least Common Multiple of 7980 and 7986