What is the Greatest Common Factor of 9646 and 9659?

Greatest common factor (GCF) of 9646 and 9659 is 13.

GCF(9646,9659) = 13

We will now calculate the prime factors of 9646 and 9659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9646 and 9659.

How to find the GCF of 9646 and 9659?

We will first find the prime factorization of 9646 and 9659. After we will calculate the factors of 9646 and 9659 and find the biggest common factor number .

Step-1: Prime Factorization of 9646

Prime factors of 9646 are 2, 7, 13, 53. Prime factorization of 9646 in exponential form is:

9646 = 2¹ × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 9659

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

9659 = 13¹ × 743¹

Step-3: Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823

Step-4: Factors of 9659

List of positive integer factors of 9659 that divides 9646 without a remainder.

1, 13, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9646 and 9659. The biggest common factor number is the GCF number.
So the greatest common factor 9646 and 9659 is 13.

Also check out the Least Common Multiple of 9646 and 9659