What is the Greatest Common Factor of 9659 and 9672?

Greatest common factor (GCF) of 9659 and 9672 is 13.

GCF(9659,9672) = 13

We will now calculate the prime factors of 9659 and 9672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9659 and 9672.

How to find the GCF of 9659 and 9672?

We will first find the prime factorization of 9659 and 9672. After we will calculate the factors of 9659 and 9672 and find the biggest common factor number .

Step-1: Prime Factorization of 9659

Prime factors of 9659 are 13, 743. Prime factorization of 9659 in exponential form is:

9659 = 13¹ × 743¹

Step-2: Prime Factorization of 9672

Prime factors of 9672 are 2, 3, 13, 31. Prime factorization of 9672 in exponential form is:

9672 = 2³ × 3¹ × 13¹ × 31¹

Step-3: Factors of 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1, 13, 743

Step-4: Factors of 9672

List of positive integer factors of 9672 that divides 9659 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9659 and 9672. The biggest common factor number is the GCF number.
So the greatest common factor 9659 and 9672 is 13.

Also check out the Least Common Multiple of 9659 and 9672