What is the Greatest Common Factor of 64521 and 64536?

Greatest common factor (GCF) of 64521 and 64536 is 3.

GCF(64521,64536) = 3

We will now calculate the prime factors of 64521 and 64536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64521 and 64536.

How to find the GCF of 64521 and 64536?

We will first find the prime factorization of 64521 and 64536. After we will calculate the factors of 64521 and 64536 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 64536

Prime factors of 64536 are 2, 3, 2689. Prime factorization of 64536 in exponential form is:

64536 = 2³ × 3¹ × 2689¹

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 64536

List of positive integer factors of 64536 that divides 64521 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2689, 5378, 8067, 10756, 16134, 21512, 32268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64521 and 64536. The biggest common factor number is the GCF number.
So the greatest common factor 64521 and 64536 is 3.

Also check out the Least Common Multiple of 64521 and 64536