What is the Greatest Common Factor of 9633 and 9646?

Greatest common factor (GCF) of 9633 and 9646 is 13.

GCF(9633,9646) = 13

We will now calculate the prime factors of 9633 and 9646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9633 and 9646.

How to find the GCF of 9633 and 9646?

We will first find the prime factorization of 9633 and 9646. After we will calculate the factors of 9633 and 9646 and find the biggest common factor number .

Step-1: Prime Factorization of 9633

Prime factors of 9633 are 3, 13, 19. Prime factorization of 9633 in exponential form is:

9633 = 3¹ × 13² × 19¹

Step-2: 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-3: Factors of 9633

List of positive integer factors of 9633 that divides 9633 without a remainder.

1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211

Step-4: Factors of 9646

List of positive integer factors of 9646 that divides 9633 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9633 and 9646. The biggest common factor number is the GCF number.
So the greatest common factor 9633 and 9646 is 13.

Also check out the Least Common Multiple of 9633 and 9646