What is the Greatest Common Factor of 64288 and 64307?

Greatest common factor (GCF) of 64288 and 64307 is 1.

GCF(64288,64307) = 1

We will now calculate the prime factors of 64288 and 64307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64307.

How to find the GCF of 64288 and 64307?

We will first find the prime factorization of 64288 and 64307. After we will calculate the factors of 64288 and 64307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64307

Prime factors of 64307 are 107, 601. Prime factorization of 64307 in exponential form is:

64307 = 107¹ × 601¹

Step-3: Factors of 64288

List of positive integer factors of 64288 that divides 64288 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

Step-4: Factors of 64307

List of positive integer factors of 64307 that divides 64288 without a remainder.

1, 107, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64307. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64307 is 1.

Also check out the Least Common Multiple of 64288 and 64307