What is the Greatest Common Factor of 64704 and 64710?

Greatest common factor (GCF) of 64704 and 64710 is 6.

GCF(64704,64710) = 6

We will now calculate the prime factors of 64704 and 64710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64710.

How to find the GCF of 64704 and 64710?

We will first find the prime factorization of 64704 and 64710. After we will calculate the factors of 64704 and 64710 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64710

Prime factors of 64710 are 2, 3, 5, 719. Prime factorization of 64710 in exponential form is:

64710 = 2¹ × 3² × 5¹ × 719¹

Step-3: Factors of 64704

List of positive integer factors of 64704 that divides 64704 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

Step-4: Factors of 64710

List of positive integer factors of 64710 that divides 64704 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 719, 1438, 2157, 3595, 4314, 6471, 7190, 10785, 12942, 21570, 32355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64710. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64710 is 6.

Also check out the Least Common Multiple of 64704 and 64710