What is the Greatest Common Factor of 64288 and 64304?

Greatest common factor (GCF) of 64288 and 64304 is 16.

GCF(64288,64304) = 16

We will now calculate the prime factors of 64288 and 64304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64304.

How to find the GCF of 64288 and 64304?

We will first find the prime factorization of 64288 and 64304. After we will calculate the factors of 64288 and 64304 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 64304

Prime factors of 64304 are 2, 4019. Prime factorization of 64304 in exponential form is:

64304 = 2⁴ × 4019¹

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 64304

List of positive integer factors of 64304 that divides 64288 without a remainder.

1, 2, 4, 8, 16, 4019, 8038, 16076, 32152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64304. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64304 is 16.

Also check out the Least Common Multiple of 64288 and 64304