What is the Greatest Common Factor of 64629 and 64641?

Greatest common factor (GCF) of 64629 and 64641 is 3.

GCF(64629,64641) = 3

We will now calculate the prime factors of 64629 and 64641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64629 and 64641.

How to find the GCF of 64629 and 64641?

We will first find the prime factorization of 64629 and 64641. After we will calculate the factors of 64629 and 64641 and find the biggest common factor number .

Step-1: Prime Factorization of 64629

Prime factors of 64629 are 3, 43, 167. Prime factorization of 64629 in exponential form is:

64629 = 3² × 43¹ × 167¹

Step-2: 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-3: Factors of 64629

List of positive integer factors of 64629 that divides 64629 without a remainder.

1, 3, 9, 43, 129, 167, 387, 501, 1503, 7181, 21543

Step-4: Factors of 64641

List of positive integer factors of 64641 that divides 64629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64629 and 64641. The biggest common factor number is the GCF number.
So the greatest common factor 64629 and 64641 is 3.

Also check out the Least Common Multiple of 64629 and 64641