What is the Greatest Common Factor of 64515 and 64521?

Greatest common factor (GCF) of 64515 and 64521 is 3.

GCF(64515,64521) = 3

We will now calculate the prime factors of 64515 and 64521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64515 and 64521.

How to find the GCF of 64515 and 64521?

We will first find the prime factorization of 64515 and 64521. After we will calculate the factors of 64515 and 64521 and find the biggest common factor number .

Step-1: Prime Factorization of 64515

Prime factors of 64515 are 3, 5, 11, 17, 23. Prime factorization of 64515 in exponential form is:

64515 = 3¹ × 5¹ × 11¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 64515

List of positive integer factors of 64515 that divides 64515 without a remainder.

1, 3, 5, 11, 15, 17, 23, 33, 51, 55, 69, 85, 115, 165, 187, 253, 255, 345, 391, 561, 759, 935, 1173, 1265, 1955, 2805, 3795, 4301, 5865, 12903, 21505

Step-4: Factors of 64521

List of positive integer factors of 64521 that divides 64515 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64515 and 64521. The biggest common factor number is the GCF number.
So the greatest common factor 64515 and 64521 is 3.

Also check out the Least Common Multiple of 64515 and 64521