What is the Greatest Common Factor of 7986 and 7995?

Greatest common factor (GCF) of 7986 and 7995 is 3.

GCF(7986,7995) = 3

We will now calculate the prime factors of 7986 and 7995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7986 and 7995.

How to find the GCF of 7986 and 7995?

We will first find the prime factorization of 7986 and 7995. After we will calculate the factors of 7986 and 7995 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7995

Prime factors of 7995 are 3, 5, 13, 41. Prime factorization of 7995 in exponential form is:

7995 = 3¹ × 5¹ × 13¹ × 41¹

Step-3: Factors of 7986

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

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

Step-4: Factors of 7995

List of positive integer factors of 7995 that divides 7986 without a remainder.

1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7986 and 7995. The biggest common factor number is the GCF number.
So the greatest common factor 7986 and 7995 is 3.

Also check out the Least Common Multiple of 7986 and 7995