What is the Greatest Common Factor of 64302 and 64316?

Greatest common factor (GCF) of 64302 and 64316 is 14.

GCF(64302,64316) = 14

We will now calculate the prime factors of 64302 and 64316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64302 and 64316.

How to find the GCF of 64302 and 64316?

We will first find the prime factorization of 64302 and 64316. After we will calculate the factors of 64302 and 64316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64316

Prime factors of 64316 are 2, 7, 2297. Prime factorization of 64316 in exponential form is:

64316 = 2² × 7¹ × 2297¹

Step-3: Factors of 64302

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

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

Step-4: Factors of 64316

List of positive integer factors of 64316 that divides 64302 without a remainder.

1, 2, 4, 7, 14, 28, 2297, 4594, 9188, 16079, 32158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64302 and 64316. The biggest common factor number is the GCF number.
So the greatest common factor 64302 and 64316 is 14.

Also check out the Least Common Multiple of 64302 and 64316