What is the Greatest Common Factor of 64692 and 64704?

Greatest common factor (GCF) of 64692 and 64704 is 12.

GCF(64692,64704) = 12

We will now calculate the prime factors of 64692 and 64704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64692 and 64704.

How to find the GCF of 64692 and 64704?

We will first find the prime factorization of 64692 and 64704. After we will calculate the factors of 64692 and 64704 and find the biggest common factor number .

Step-1: Prime Factorization of 64692

Prime factors of 64692 are 2, 3, 599. Prime factorization of 64692 in exponential form is:

64692 = 2² × 3³ × 599¹

Step-2: Prime Factorization of 64704

Prime factors of 64704 are 2, 3, 337. Prime factorization of 64704 in exponential form is:

64704 = 2⁶ × 3¹ × 337¹

Step-3: Factors of 64692

List of positive integer factors of 64692 that divides 64692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 599, 1198, 1797, 2396, 3594, 5391, 7188, 10782, 16173, 21564, 32346

Step-4: Factors of 64704

List of positive integer factors of 64704 that divides 64692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088, 10784, 16176, 21568, 32352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64692 and 64704. The biggest common factor number is the GCF number.
So the greatest common factor 64692 and 64704 is 12.

Also check out the Least Common Multiple of 64692 and 64704