What is the Greatest Common Factor of 9639 and 9656?

Greatest common factor (GCF) of 9639 and 9656 is 17.

GCF(9639,9656) = 17

We will now calculate the prime factors of 9639 and 9656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9639 and 9656.

How to find the GCF of 9639 and 9656?

We will first find the prime factorization of 9639 and 9656. After we will calculate the factors of 9639 and 9656 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 9656

Prime factors of 9656 are 2, 17, 71. Prime factorization of 9656 in exponential form is:

9656 = 2³ × 17¹ × 71¹

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 9656

List of positive integer factors of 9656 that divides 9639 without a remainder.

1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9639 and 9656. The biggest common factor number is the GCF number.
So the greatest common factor 9639 and 9656 is 17.

Also check out the Least Common Multiple of 9639 and 9656