What is the Greatest Common Factor of 9654 and 9666?

Greatest common factor (GCF) of 9654 and 9666 is 6.

GCF(9654,9666) = 6

We will now calculate the prime factors of 9654 and 9666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9654 and 9666.

How to find the GCF of 9654 and 9666?

We will first find the prime factorization of 9654 and 9666. After we will calculate the factors of 9654 and 9666 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 9666

Prime factors of 9666 are 2, 3, 179. Prime factorization of 9666 in exponential form is:

9666 = 2¹ × 3³ × 179¹

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 9666

List of positive integer factors of 9666 that divides 9654 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9654 and 9666. The biggest common factor number is the GCF number.
So the greatest common factor 9654 and 9666 is 6.

Also check out the Least Common Multiple of 9654 and 9666