What is the Greatest Common Factor of 64288 and 64295?

Greatest common factor (GCF) of 64288 and 64295 is 7.

GCF(64288,64295) = 7

We will now calculate the prime factors of 64288 and 64295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64295.

How to find the GCF of 64288 and 64295?

We will first find the prime factorization of 64288 and 64295. After we will calculate the factors of 64288 and 64295 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 64295

Prime factors of 64295 are 5, 7, 11, 167. Prime factorization of 64295 in exponential form is:

64295 = 5¹ × 7¹ × 11¹ × 167¹

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 64295

List of positive integer factors of 64295 that divides 64288 without a remainder.

1, 5, 7, 11, 35, 55, 77, 167, 385, 835, 1169, 1837, 5845, 9185, 12859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64295. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64295 is 7.

Also check out the Least Common Multiple of 64288 and 64295