What is the Greatest Common Factor of 64593 and 64599?

Greatest common factor (GCF) of 64593 and 64599 is 3.

GCF(64593,64599) = 3

We will now calculate the prime factors of 64593 and 64599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64593 and 64599.

How to find the GCF of 64593 and 64599?

We will first find the prime factorization of 64593 and 64599. After we will calculate the factors of 64593 and 64599 and find the biggest common factor number .

Step-1: Prime Factorization of 64593

Prime factors of 64593 are 3, 7177. Prime factorization of 64593 in exponential form is:

64593 = 3² × 7177¹

Step-2: Prime Factorization of 64599

Prime factors of 64599 are 3, 61, 353. Prime factorization of 64599 in exponential form is:

64599 = 3¹ × 61¹ × 353¹

Step-3: Factors of 64593

List of positive integer factors of 64593 that divides 64593 without a remainder.

1, 3, 9, 7177, 21531

Step-4: Factors of 64599

List of positive integer factors of 64599 that divides 64593 without a remainder.

1, 3, 61, 183, 353, 1059, 21533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64593 and 64599. The biggest common factor number is the GCF number.
So the greatest common factor 64593 and 64599 is 3.

Also check out the Least Common Multiple of 64593 and 64599