What is the Greatest Common Factor of 9666 and 9686?

Greatest common factor (GCF) of 9666 and 9686 is 2.

GCF(9666,9686) = 2

We will now calculate the prime factors of 9666 and 9686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9666 and 9686.

How to find the GCF of 9666 and 9686?

We will first find the prime factorization of 9666 and 9686. After we will calculate the factors of 9666 and 9686 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 9686

Prime factors of 9686 are 2, 29, 167. Prime factorization of 9686 in exponential form is:

9686 = 2¹ × 29¹ × 167¹

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 9686

List of positive integer factors of 9686 that divides 9666 without a remainder.

1, 2, 29, 58, 167, 334, 4843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9666 and 9686. The biggest common factor number is the GCF number.
So the greatest common factor 9666 and 9686 is 2.

Also check out the Least Common Multiple of 9666 and 9686