What is the Greatest Common Factor of 6664 and 6672?

Greatest common factor (GCF) of 6664 and 6672 is 8.

GCF(6664,6672) = 8

We will now calculate the prime factors of 6664 and 6672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6664 and 6672.

How to find the GCF of 6664 and 6672?

We will first find the prime factorization of 6664 and 6672. After we will calculate the factors of 6664 and 6672 and find the biggest common factor number .

Step-1: Prime Factorization of 6664

Prime factors of 6664 are 2, 7, 17. Prime factorization of 6664 in exponential form is:

6664 = 2³ × 7² × 17¹

Step-2: Prime Factorization of 6672

Prime factors of 6672 are 2, 3, 139. Prime factorization of 6672 in exponential form is:

6672 = 2⁴ × 3¹ × 139¹

Step-3: Factors of 6664

List of positive integer factors of 6664 that divides 6664 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332

Step-4: Factors of 6672

List of positive integer factors of 6672 that divides 6664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6664 and 6672. The biggest common factor number is the GCF number.
So the greatest common factor 6664 and 6672 is 8.

Also check out the Least Common Multiple of 6664 and 6672