What is the Greatest Common Factor of 64563 and 64578?

Greatest common factor (GCF) of 64563 and 64578 is 3.

GCF(64563,64578) = 3

We will now calculate the prime factors of 64563 and 64578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64563 and 64578.

How to find the GCF of 64563 and 64578?

We will first find the prime factorization of 64563 and 64578. After we will calculate the factors of 64563 and 64578 and find the biggest common factor number .

Step-1: Prime Factorization of 64563

Prime factors of 64563 are 3, 21521. Prime factorization of 64563 in exponential form is:

64563 = 3¹ × 21521¹

Step-2: Prime Factorization of 64578

Prime factors of 64578 are 2, 3, 47, 229. Prime factorization of 64578 in exponential form is:

64578 = 2¹ × 3¹ × 47¹ × 229¹

Step-3: Factors of 64563

List of positive integer factors of 64563 that divides 64563 without a remainder.

1, 3, 21521

Step-4: Factors of 64578

List of positive integer factors of 64578 that divides 64563 without a remainder.

1, 2, 3, 6, 47, 94, 141, 229, 282, 458, 687, 1374, 10763, 21526, 32289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64563 and 64578. The biggest common factor number is the GCF number.
So the greatest common factor 64563 and 64578 is 3.

Also check out the Least Common Multiple of 64563 and 64578