What is the Greatest Common Factor of 9666 and 9678?

Greatest common factor (GCF) of 9666 and 9678 is 6.

GCF(9666,9678) = 6

We will now calculate the prime factors of 9666 and 9678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9666 and 9678.

How to find the GCF of 9666 and 9678?

We will first find the prime factorization of 9666 and 9678. After we will calculate the factors of 9666 and 9678 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9678

Prime factors of 9678 are 2, 3, 1613. Prime factorization of 9678 in exponential form is:

9678 = 2¹ × 3¹ × 1613¹

Step-3: Factors of 9666

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

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

Step-4: Factors of 9678

List of positive integer factors of 9678 that divides 9666 without a remainder.

1, 2, 3, 6, 1613, 3226, 4839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9666 and 9678. The biggest common factor number is the GCF number.
So the greatest common factor 9666 and 9678 is 6.

Also check out the Least Common Multiple of 9666 and 9678