What is the Greatest Common Factor of 6653 and 6664?

Greatest common factor (GCF) of 6653 and 6664 is 1.

GCF(6653,6664) = 1

We will now calculate the prime factors of 6653 and 6664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6653 and 6664.

How to find the GCF of 6653 and 6664?

We will first find the prime factorization of 6653 and 6664. After we will calculate the factors of 6653 and 6664 and find the biggest common factor number .

Step-1: Prime Factorization of 6653

Prime factors of 6653 are 6653. Prime factorization of 6653 in exponential form is:

6653 = 6653¹

Step-2: 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-3: Factors of 6653

List of positive integer factors of 6653 that divides 6653 without a remainder.

Step-4: Factors of 6664

List of positive integer factors of 6664 that divides 6653 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6653 and 6664. The biggest common factor number is the GCF number.
So the greatest common factor 6653 and 6664 is 1.

Also check out the Least Common Multiple of 6653 and 6664