What is the Greatest Common Factor of 64316 and 64330?

Greatest common factor (GCF) of 64316 and 64330 is 14.

GCF(64316,64330) = 14

We will now calculate the prime factors of 64316 and 64330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64316 and 64330.

How to find the GCF of 64316 and 64330?

We will first find the prime factorization of 64316 and 64330. After we will calculate the factors of 64316 and 64330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64330

Prime factors of 64330 are 2, 5, 7, 919. Prime factorization of 64330 in exponential form is:

64330 = 2¹ × 5¹ × 7¹ × 919¹

Step-3: Factors of 64316

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

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

Step-4: Factors of 64330

List of positive integer factors of 64330 that divides 64316 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 919, 1838, 4595, 6433, 9190, 12866, 32165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64316 and 64330. The biggest common factor number is the GCF number.
So the greatest common factor 64316 and 64330 is 14.

Also check out the Least Common Multiple of 64316 and 64330