What is the Greatest Common Factor of 9654 and 9664?

Greatest common factor (GCF) of 9654 and 9664 is 2.

GCF(9654,9664) = 2

We will now calculate the prime factors of 9654 and 9664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9654 and 9664.

How to find the GCF of 9654 and 9664?

We will first find the prime factorization of 9654 and 9664. After we will calculate the factors of 9654 and 9664 and find the biggest common factor number .

Step-1: Prime Factorization of 9654

Prime factors of 9654 are 2, 3, 1609. Prime factorization of 9654 in exponential form is:

9654 = 2¹ × 3¹ × 1609¹

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 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1, 2, 3, 6, 1609, 3218, 4827

Step-4: Factors of 9664

List of positive integer factors of 9664 that divides 9654 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 9654 and 9664. The biggest common factor number is the GCF number.
So the greatest common factor 9654 and 9664 is 2.

Also check out the Least Common Multiple of 9654 and 9664