What is the Greatest Common Factor of 64704 and 64709?

Greatest common factor (GCF) of 64704 and 64709 is 1.

GCF(64704,64709) = 1

We will now calculate the prime factors of 64704 and 64709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64709.

How to find the GCF of 64704 and 64709?

We will first find the prime factorization of 64704 and 64709. After we will calculate the factors of 64704 and 64709 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 64709

Prime factors of 64709 are 64709. Prime factorization of 64709 in exponential form is:

64709 = 64709¹

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 64709

List of positive integer factors of 64709 that divides 64704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64709. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64709 is 1.

Also check out the Least Common Multiple of 64704 and 64709