What is the Greatest Common Factor of 6664 and 6668?

Greatest common factor (GCF) of 6664 and 6668 is 4.

GCF(6664,6668) = 4

We will now calculate the prime factors of 6664 and 6668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6664 and 6668.

How to find the GCF of 6664 and 6668?

We will first find the prime factorization of 6664 and 6668. After we will calculate the factors of 6664 and 6668 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 6668

Prime factors of 6668 are 2, 1667. Prime factorization of 6668 in exponential form is:

6668 = 2² × 1667¹

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 6668

List of positive integer factors of 6668 that divides 6664 without a remainder.

1, 2, 4, 1667, 3334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6664 and 6668. The biggest common factor number is the GCF number.
So the greatest common factor 6664 and 6668 is 4.

Also check out the Least Common Multiple of 6664 and 6668