What is the Greatest Common Factor of 7956 and 7968?

Greatest common factor (GCF) of 7956 and 7968 is 12.

GCF(7956,7968) = 12

We will now calculate the prime factors of 7956 and 7968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7956 and 7968.

How to find the GCF of 7956 and 7968?

We will first find the prime factorization of 7956 and 7968. After we will calculate the factors of 7956 and 7968 and find the biggest common factor number .

Step-1: Prime Factorization of 7956

Prime factors of 7956 are 2, 3, 13, 17. Prime factorization of 7956 in exponential form is:

7956 = 2² × 3² × 13¹ × 17¹

Step-2: 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-3: Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978

Step-4: Factors of 7968

List of positive integer factors of 7968 that divides 7956 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7956 and 7968. The biggest common factor number is the GCF number.
So the greatest common factor 7956 and 7968 is 12.

Also check out the Least Common Multiple of 7956 and 7968