What is the Greatest Common Factor of 64288 and 64302?

Greatest common factor (GCF) of 64288 and 64302 is 14.

GCF(64288,64302) = 14

We will now calculate the prime factors of 64288 and 64302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64302.

How to find the GCF of 64288 and 64302?

We will first find the prime factorization of 64288 and 64302. After we will calculate the factors of 64288 and 64302 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 64302

Prime factors of 64302 are 2, 3, 7, 1531. Prime factorization of 64302 in exponential form is:

64302 = 2¹ × 3¹ × 7¹ × 1531¹

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 64302

List of positive integer factors of 64302 that divides 64288 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1531, 3062, 4593, 9186, 10717, 21434, 32151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64302. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64302 is 14.

Also check out the Least Common Multiple of 64288 and 64302