What is the Greatest Common Factor of 9648 and 9664?

Greatest common factor (GCF) of 9648 and 9664 is 16.

GCF(9648,9664) = 16

We will now calculate the prime factors of 9648 and 9664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9648 and 9664.

How to find the GCF of 9648 and 9664?

We will first find the prime factorization of 9648 and 9664. After we will calculate the factors of 9648 and 9664 and find the biggest common factor number .

Step-1: Prime Factorization of 9648

Prime factors of 9648 are 2, 3, 67. Prime factorization of 9648 in exponential form is:

9648 = 2⁴ × 3² × 67¹

Step-2: Prime Factorization of 9664

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

9664 = 2⁶ × 151¹

Step-3: Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824

Step-4: Factors of 9664

List of positive integer factors of 9664 that divides 9648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9648 and 9664. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9664 is 16.

Also check out the Least Common Multiple of 9648 and 9664