What is the Greatest Common Factor of 6664 and 6678?

Greatest common factor (GCF) of 6664 and 6678 is 14.

GCF(6664,6678) = 14

We will now calculate the prime factors of 6664 and 6678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6664 and 6678.

How to find the GCF of 6664 and 6678?

We will first find the prime factorization of 6664 and 6678. After we will calculate the factors of 6664 and 6678 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 6678

Prime factors of 6678 are 2, 3, 7, 53. Prime factorization of 6678 in exponential form is:

6678 = 2¹ × 3² × 7¹ × 53¹

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 6678

List of positive integer factors of 6678 that divides 6664 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6664 and 6678. The biggest common factor number is the GCF number.
So the greatest common factor 6664 and 6678 is 14.

Also check out the Least Common Multiple of 6664 and 6678