What is the Greatest Common Factor of 6654 and 6659?

Greatest common factor (GCF) of 6654 and 6659 is 1.

GCF(6654,6659) = 1

We will now calculate the prime factors of 6654 and 6659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6654 and 6659.

How to find the GCF of 6654 and 6659?

We will first find the prime factorization of 6654 and 6659. After we will calculate the factors of 6654 and 6659 and find the biggest common factor number .

Step-1: Prime Factorization of 6654

Prime factors of 6654 are 2, 3, 1109. Prime factorization of 6654 in exponential form is:

6654 = 2¹ × 3¹ × 1109¹

Step-2: Prime Factorization of 6659

Prime factors of 6659 are 6659. Prime factorization of 6659 in exponential form is:

6659 = 6659¹

Step-3: Factors of 6654

List of positive integer factors of 6654 that divides 6654 without a remainder.

1, 2, 3, 6, 1109, 2218, 3327

Step-4: Factors of 6659

List of positive integer factors of 6659 that divides 6654 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6654 and 6659. The biggest common factor number is the GCF number.
So the greatest common factor 6654 and 6659 is 1.

Also check out the Least Common Multiple of 6654 and 6659