What is the Greatest Common Factor of 64704 and 64711?

Greatest common factor (GCF) of 64704 and 64711 is 1.

GCF(64704,64711) = 1

We will now calculate the prime factors of 64704 and 64711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64704 and 64711.

How to find the GCF of 64704 and 64711?

We will first find the prime factorization of 64704 and 64711. After we will calculate the factors of 64704 and 64711 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 64711

Prime factors of 64711 are 163, 397. Prime factorization of 64711 in exponential form is:

64711 = 163¹ × 397¹

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 64711

List of positive integer factors of 64711 that divides 64704 without a remainder.

1, 163, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64704 and 64711. The biggest common factor number is the GCF number.
So the greatest common factor 64704 and 64711 is 1.

Also check out the Least Common Multiple of 64704 and 64711