What is the Greatest Common Factor of 64704 and 64723?

Greatest common factor (GCF) of 64704 and 64723 is 1.

GCF(64704,64723) = 1

We will now calculate the prime factors of 64704 and 64723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64723.

How to find the GCF of 64704 and 64723?

We will first find the prime factorization of 64704 and 64723. After we will calculate the factors of 64704 and 64723 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 64723

Prime factors of 64723 are 59, 1097. Prime factorization of 64723 in exponential form is:

64723 = 59¹ × 1097¹

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 64723

List of positive integer factors of 64723 that divides 64704 without a remainder.

1, 59, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64723. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64723 is 1.

Also check out the Least Common Multiple of 64704 and 64723