What is the Greatest Common Factor of 64569 and 64575?

Greatest common factor (GCF) of 64569 and 64575 is 3.

GCF(64569,64575) = 3

We will now calculate the prime factors of 64569 and 64575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64569 and 64575.

How to find the GCF of 64569 and 64575?

We will first find the prime factorization of 64569 and 64575. After we will calculate the factors of 64569 and 64575 and find the biggest common factor number .

Step-1: Prime Factorization of 64569

Prime factors of 64569 are 3, 21523. Prime factorization of 64569 in exponential form is:

64569 = 3¹ × 21523¹

Step-2: 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-3: Factors of 64569

List of positive integer factors of 64569 that divides 64569 without a remainder.

1, 3, 21523

Step-4: Factors of 64575

List of positive integer factors of 64575 that divides 64569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64569 and 64575. The biggest common factor number is the GCF number.
So the greatest common factor 64569 and 64575 is 3.

Also check out the Least Common Multiple of 64569 and 64575