What is the Greatest Common Factor of 64315 and 64334?

Greatest common factor (GCF) of 64315 and 64334 is 19.

GCF(64315,64334) = 19

We will now calculate the prime factors of 64315 and 64334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64315 and 64334.

How to find the GCF of 64315 and 64334?

We will first find the prime factorization of 64315 and 64334. After we will calculate the factors of 64315 and 64334 and find the biggest common factor number .

Step-1: Prime Factorization of 64315

Prime factors of 64315 are 5, 19, 677. Prime factorization of 64315 in exponential form is:

64315 = 5¹ × 19¹ × 677¹

Step-2: Prime Factorization of 64334

Prime factors of 64334 are 2, 19, 1693. Prime factorization of 64334 in exponential form is:

64334 = 2¹ × 19¹ × 1693¹

Step-3: Factors of 64315

List of positive integer factors of 64315 that divides 64315 without a remainder.

1, 5, 19, 95, 677, 3385, 12863

Step-4: Factors of 64334

List of positive integer factors of 64334 that divides 64315 without a remainder.

1, 2, 19, 38, 1693, 3386, 32167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64315 and 64334. The biggest common factor number is the GCF number.
So the greatest common factor 64315 and 64334 is 19.

Also check out the Least Common Multiple of 64315 and 64334