What is the Greatest Common Factor of 9659 and 9677?

Greatest common factor (GCF) of 9659 and 9677 is 1.

GCF(9659,9677) = 1

We will now calculate the prime factors of 9659 and 9677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9659 and 9677.

How to find the GCF of 9659 and 9677?

We will first find the prime factorization of 9659 and 9677. After we will calculate the factors of 9659 and 9677 and find the biggest common factor number .

Step-1: Prime Factorization of 9659

Prime factors of 9659 are 13, 743. Prime factorization of 9659 in exponential form is:

9659 = 13¹ × 743¹

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 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1, 13, 743

Step-4: Factors of 9677

List of positive integer factors of 9677 that divides 9659 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9659 and 9677. The biggest common factor number is the GCF number.
So the greatest common factor 9659 and 9677 is 1.

Also check out the Least Common Multiple of 9659 and 9677