What is the Greatest Common Factor of 9645 and 9656?

Greatest common factor (GCF) of 9645 and 9656 is 1.

GCF(9645,9656) = 1

We will now calculate the prime factors of 9645 and 9656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9645 and 9656.

How to find the GCF of 9645 and 9656?

We will first find the prime factorization of 9645 and 9656. After we will calculate the factors of 9645 and 9656 and find the biggest common factor number .

Step-1: Prime Factorization of 9645

Prime factors of 9645 are 3, 5, 643. Prime factorization of 9645 in exponential form is:

9645 = 3¹ × 5¹ × 643¹

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 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1, 3, 5, 15, 643, 1929, 3215

Step-4: Factors of 9656

List of positive integer factors of 9656 that divides 9645 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 9645 and 9656. The biggest common factor number is the GCF number.
So the greatest common factor 9645 and 9656 is 1.

Also check out the Least Common Multiple of 9645 and 9656