What is the Greatest Common Factor of 9639 and 9646?

Greatest common factor (GCF) of 9639 and 9646 is 7.

GCF(9639,9646) = 7

We will now calculate the prime factors of 9639 and 9646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9639 and 9646.

How to find the GCF of 9639 and 9646?

We will first find the prime factorization of 9639 and 9646. After we will calculate the factors of 9639 and 9646 and find the biggest common factor number .

Step-1: Prime Factorization of 9639

Prime factors of 9639 are 3, 7, 17. Prime factorization of 9639 in exponential form is:

9639 = 3⁴ × 7¹ × 17¹

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 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213

Step-4: Factors of 9646

List of positive integer factors of 9646 that divides 9639 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 9639 and 9646. The biggest common factor number is the GCF number.
So the greatest common factor 9639 and 9646 is 7.

Also check out the Least Common Multiple of 9639 and 9646