What is the Greatest Common Factor of 7956 and 7965?

Greatest common factor (GCF) of 7956 and 7965 is 9.

GCF(7956,7965) = 9

We will now calculate the prime factors of 7956 and 7965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7956 and 7965.

How to find the GCF of 7956 and 7965?

We will first find the prime factorization of 7956 and 7965. After we will calculate the factors of 7956 and 7965 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 7965

Prime factors of 7965 are 3, 5, 59. Prime factorization of 7965 in exponential form is:

7965 = 3³ × 5¹ × 59¹

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 7965

List of positive integer factors of 7965 that divides 7956 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7956 and 7965. The biggest common factor number is the GCF number.
So the greatest common factor 7956 and 7965 is 9.

Also check out the Least Common Multiple of 7956 and 7965