What is the Greatest Common Factor of 64392 and 64404?

Greatest common factor (GCF) of 64392 and 64404 is 12.

GCF(64392,64404) = 12

We will now calculate the prime factors of 64392 and 64404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64392 and 64404.

How to find the GCF of 64392 and 64404?

We will first find the prime factorization of 64392 and 64404. After we will calculate the factors of 64392 and 64404 and find the biggest common factor number .

Step-1: Prime Factorization of 64392

Prime factors of 64392 are 2, 3, 2683. Prime factorization of 64392 in exponential form is:

64392 = 2³ × 3¹ × 2683¹

Step-2: Prime Factorization of 64404

Prime factors of 64404 are 2, 3, 1789. Prime factorization of 64404 in exponential form is:

64404 = 2² × 3² × 1789¹

Step-3: Factors of 64392

List of positive integer factors of 64392 that divides 64392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2683, 5366, 8049, 10732, 16098, 21464, 32196

Step-4: Factors of 64404

List of positive integer factors of 64404 that divides 64392 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1789, 3578, 5367, 7156, 10734, 16101, 21468, 32202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64392 and 64404. The biggest common factor number is the GCF number.
So the greatest common factor 64392 and 64404 is 12.

Also check out the Least Common Multiple of 64392 and 64404