What is the Greatest Common Factor of 64641 and 64647?

Greatest common factor (GCF) of 64641 and 64647 is 3.

GCF(64641,64647) = 3

We will now calculate the prime factors of 64641 and 64647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64641 and 64647.

How to find the GCF of 64641 and 64647?

We will first find the prime factorization of 64641 and 64647. After we will calculate the factors of 64641 and 64647 and find the biggest common factor number .

Step-1: Prime Factorization of 64641

Prime factors of 64641 are 3, 29, 743. Prime factorization of 64641 in exponential form is:

64641 = 3¹ × 29¹ × 743¹

Step-2: Prime Factorization of 64647

Prime factors of 64647 are 3, 11, 653. Prime factorization of 64647 in exponential form is:

64647 = 3² × 11¹ × 653¹

Step-3: Factors of 64641

List of positive integer factors of 64641 that divides 64641 without a remainder.

1, 3, 29, 87, 743, 2229, 21547

Step-4: Factors of 64647

List of positive integer factors of 64647 that divides 64641 without a remainder.

1, 3, 9, 11, 33, 99, 653, 1959, 5877, 7183, 21549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64641 and 64647. The biggest common factor number is the GCF number.
So the greatest common factor 64641 and 64647 is 3.

Also check out the Least Common Multiple of 64641 and 64647