What is the Greatest Common Factor of 64360 and 64375?

Greatest common factor (GCF) of 64360 and 64375 is 5.

GCF(64360,64375) = 5

We will now calculate the prime factors of 64360 and 64375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64360 and 64375.

How to find the GCF of 64360 and 64375?

We will first find the prime factorization of 64360 and 64375. After we will calculate the factors of 64360 and 64375 and find the biggest common factor number .

Step-1: Prime Factorization of 64360

Prime factors of 64360 are 2, 5, 1609. Prime factorization of 64360 in exponential form is:

64360 = 2³ × 5¹ × 1609¹

Step-2: Prime Factorization of 64375

Prime factors of 64375 are 5, 103. Prime factorization of 64375 in exponential form is:

64375 = 5⁴ × 103¹

Step-3: Factors of 64360

List of positive integer factors of 64360 that divides 64360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1609, 3218, 6436, 8045, 12872, 16090, 32180

Step-4: Factors of 64375

List of positive integer factors of 64375 that divides 64360 without a remainder.

1, 5, 25, 103, 125, 515, 625, 2575, 12875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64360 and 64375. The biggest common factor number is the GCF number.
So the greatest common factor 64360 and 64375 is 5.

Also check out the Least Common Multiple of 64360 and 64375