What is the Greatest Common Factor of 64314 and 64322?

Greatest common factor (GCF) of 64314 and 64322 is 2.

GCF(64314,64322) = 2

We will now calculate the prime factors of 64314 and 64322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64322.

How to find the GCF of 64314 and 64322?

We will first find the prime factorization of 64314 and 64322. After we will calculate the factors of 64314 and 64322 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 64322

Prime factors of 64322 are 2, 29, 1109. Prime factorization of 64322 in exponential form is:

64322 = 2¹ × 29¹ × 1109¹

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 64322

List of positive integer factors of 64322 that divides 64314 without a remainder.

1, 2, 29, 58, 1109, 2218, 32161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64314 and 64322. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64322 is 2.

Also check out the Least Common Multiple of 64314 and 64322