What is the Greatest Common Factor of 64521 and 64527?

Greatest common factor (GCF) of 64521 and 64527 is 3.

GCF(64521,64527) = 3

We will now calculate the prime factors of 64521 and 64527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64521 and 64527.

How to find the GCF of 64521 and 64527?

We will first find the prime factorization of 64521 and 64527. After we will calculate the factors of 64521 and 64527 and find the biggest common factor number .

Step-1: Prime Factorization of 64521

Prime factors of 64521 are 3, 67, 107. Prime factorization of 64521 in exponential form is:

64521 = 3² × 67¹ × 107¹

Step-2: Prime Factorization of 64527

Prime factors of 64527 are 3, 137, 157. Prime factorization of 64527 in exponential form is:

64527 = 3¹ × 137¹ × 157¹

Step-3: Factors of 64521

List of positive integer factors of 64521 that divides 64521 without a remainder.

1, 3, 9, 67, 107, 201, 321, 603, 963, 7169, 21507

Step-4: Factors of 64527

List of positive integer factors of 64527 that divides 64521 without a remainder.

1, 3, 137, 157, 411, 471, 21509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64521 and 64527. The biggest common factor number is the GCF number.
So the greatest common factor 64521 and 64527 is 3.

Also check out the Least Common Multiple of 64521 and 64527