What is the Greatest Common Factor of 64704 and 64712?

Greatest common factor (GCF) of 64704 and 64712 is 8.

GCF(64704,64712) = 8

We will now calculate the prime factors of 64704 and 64712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64712.

How to find the GCF of 64704 and 64712?

We will first find the prime factorization of 64704 and 64712. After we will calculate the factors of 64704 and 64712 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 64712

Prime factors of 64712 are 2, 8089. Prime factorization of 64712 in exponential form is:

64712 = 2³ × 8089¹

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 64712

List of positive integer factors of 64712 that divides 64704 without a remainder.

1, 2, 4, 8, 8089, 16178, 32356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64712. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64712 is 8.

Also check out the Least Common Multiple of 64704 and 64712