What is the Greatest Common Factor of 64314 and 64334?

Greatest common factor (GCF) of 64314 and 64334 is 2.

GCF(64314,64334) = 2

We will now calculate the prime factors of 64314 and 64334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64334.

How to find the GCF of 64314 and 64334?

We will first find the prime factorization of 64314 and 64334. After we will calculate the factors of 64314 and 64334 and find the biggest common factor number .

Step-1: Prime Factorization of 64314

Prime factors of 64314 are 2, 3, 397. Prime factorization of 64314 in exponential form is:

64314 = 2¹ × 3⁴ × 397¹

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 64314

List of positive integer factors of 64314 that divides 64314 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 397, 794, 1191, 2382, 3573, 7146, 10719, 21438, 32157

Step-4: Factors of 64334

List of positive integer factors of 64334 that divides 64314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64314 and 64334. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64334 is 2.

Also check out the Least Common Multiple of 64314 and 64334