What is the Greatest Common Factor of 9666 and 9677?

Greatest common factor (GCF) of 9666 and 9677 is 1.

GCF(9666,9677) = 1

We will now calculate the prime factors of 9666 and 9677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9666 and 9677.

How to find the GCF of 9666 and 9677?

We will first find the prime factorization of 9666 and 9677. After we will calculate the factors of 9666 and 9677 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 9677

Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:

9677 = 9677¹

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 9677

List of positive integer factors of 9677 that divides 9666 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9666 and 9677. The biggest common factor number is the GCF number.
So the greatest common factor 9666 and 9677 is 1.

Also check out the Least Common Multiple of 9666 and 9677