What is the Greatest Common Factor of 9664 and 9672?

Greatest common factor (GCF) of 9664 and 9672 is 8.

GCF(9664,9672) = 8

We will now calculate the prime factors of 9664 and 9672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9664 and 9672.

How to find the GCF of 9664 and 9672?

We will first find the prime factorization of 9664 and 9672. After we will calculate the factors of 9664 and 9672 and find the biggest common factor number .

Step-1: Prime Factorization of 9664

Prime factors of 9664 are 2, 151. Prime factorization of 9664 in exponential form is:

9664 = 2⁶ × 151¹

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 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832

Step-4: Factors of 9672

List of positive integer factors of 9672 that divides 9664 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 9664 and 9672. The biggest common factor number is the GCF number.
So the greatest common factor 9664 and 9672 is 8.

Also check out the Least Common Multiple of 9664 and 9672