What is the Greatest Common Factor of 64704 and 64708?

Greatest common factor (GCF) of 64704 and 64708 is 4.

GCF(64704,64708) = 4

We will now calculate the prime factors of 64704 and 64708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64708.

How to find the GCF of 64704 and 64708?

We will first find the prime factorization of 64704 and 64708. After we will calculate the factors of 64704 and 64708 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 64708

Prime factors of 64708 are 2, 7, 2311. Prime factorization of 64708 in exponential form is:

64708 = 2² × 7¹ × 2311¹

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 64708

List of positive integer factors of 64708 that divides 64704 without a remainder.

1, 2, 4, 7, 14, 28, 2311, 4622, 9244, 16177, 32354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64708. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64708 is 4.

Also check out the Least Common Multiple of 64704 and 64708