What is the Greatest Common Factor of 64275 and 64288?

Greatest common factor (GCF) of 64275 and 64288 is 1.

GCF(64275,64288) = 1

We will now calculate the prime factors of 64275 and 64288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64275 and 64288.

How to find the GCF of 64275 and 64288?

We will first find the prime factorization of 64275 and 64288. After we will calculate the factors of 64275 and 64288 and find the biggest common factor number .

Step-1: Prime Factorization of 64275

Prime factors of 64275 are 3, 5, 857. Prime factorization of 64275 in exponential form is:

64275 = 3¹ × 5² × 857¹

Step-2: Prime Factorization of 64288

Prime factors of 64288 are 2, 7, 41. Prime factorization of 64288 in exponential form is:

64288 = 2⁵ × 7² × 41¹

Step-3: Factors of 64275

List of positive integer factors of 64275 that divides 64275 without a remainder.

1, 3, 5, 15, 25, 75, 857, 2571, 4285, 12855, 21425

Step-4: Factors of 64288

List of positive integer factors of 64288 that divides 64275 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 49, 56, 82, 98, 112, 164, 196, 224, 287, 328, 392, 574, 656, 784, 1148, 1312, 1568, 2009, 2296, 4018, 4592, 8036, 9184, 16072, 32144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64275 and 64288. The biggest common factor number is the GCF number.
So the greatest common factor 64275 and 64288 is 1.

Also check out the Least Common Multiple of 64275 and 64288