What is the Greatest Common Factor of 64314 and 64332?

Greatest common factor (GCF) of 64314 and 64332 is 18.

GCF(64314,64332) = 18

We will now calculate the prime factors of 64314 and 64332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64332.

How to find the GCF of 64314 and 64332?

We will first find the prime factorization of 64314 and 64332. After we will calculate the factors of 64314 and 64332 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 64332

Prime factors of 64332 are 2, 3, 1787. Prime factorization of 64332 in exponential form is:

64332 = 2² × 3² × 1787¹

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 64332

List of positive integer factors of 64332 that divides 64314 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1787, 3574, 5361, 7148, 10722, 16083, 21444, 32166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64314 and 64332. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64332 is 18.

Also check out the Least Common Multiple of 64314 and 64332