What is the Greatest Common Factor of 64575 and 64589?

Greatest common factor (GCF) of 64575 and 64589 is 7.

GCF(64575,64589) = 7

We will now calculate the prime factors of 64575 and 64589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64575 and 64589.

How to find the GCF of 64575 and 64589?

We will first find the prime factorization of 64575 and 64589. After we will calculate the factors of 64575 and 64589 and find the biggest common factor number .

Step-1: Prime Factorization of 64575

Prime factors of 64575 are 3, 5, 7, 41. Prime factorization of 64575 in exponential form is:

64575 = 3² × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 64589

Prime factors of 64589 are 7, 9227. Prime factorization of 64589 in exponential form is:

64589 = 7¹ × 9227¹

Step-3: Factors of 64575

List of positive integer factors of 64575 that divides 64575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 41, 45, 63, 75, 105, 123, 175, 205, 225, 287, 315, 369, 525, 615, 861, 1025, 1435, 1575, 1845, 2583, 3075, 4305, 7175, 9225, 12915, 21525

Step-4: Factors of 64589

List of positive integer factors of 64589 that divides 64575 without a remainder.

1, 7, 9227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64575 and 64589. The biggest common factor number is the GCF number.
So the greatest common factor 64575 and 64589 is 7.

Also check out the Least Common Multiple of 64575 and 64589