What is the Greatest Common Factor of 64314 and 64323?

Greatest common factor (GCF) of 64314 and 64323 is 9.

GCF(64314,64323) = 9

We will now calculate the prime factors of 64314 and 64323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64323.

How to find the GCF of 64314 and 64323?

We will first find the prime factorization of 64314 and 64323. After we will calculate the factors of 64314 and 64323 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 64323

Prime factors of 64323 are 3, 7, 1021. Prime factorization of 64323 in exponential form is:

64323 = 3² × 7¹ × 1021¹

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 64323

List of positive integer factors of 64323 that divides 64314 without a remainder.

1, 3, 7, 9, 21, 63, 1021, 3063, 7147, 9189, 21441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64314 and 64323. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64323 is 9.

Also check out the Least Common Multiple of 64314 and 64323