What is the Greatest Common Factor of 64288 and 64292?

Greatest common factor (GCF) of 64288 and 64292 is 4.

GCF(64288,64292) = 4

We will now calculate the prime factors of 64288 and 64292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64292.

How to find the GCF of 64288 and 64292?

We will first find the prime factorization of 64288 and 64292. After we will calculate the factors of 64288 and 64292 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 64292

Prime factors of 64292 are 2, 16073. Prime factorization of 64292 in exponential form is:

64292 = 2² × 16073¹

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 64292

List of positive integer factors of 64292 that divides 64288 without a remainder.

1, 2, 4, 16073, 32146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64292. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64292 is 4.

Also check out the Least Common Multiple of 64288 and 64292