What is the Greatest Common Factor of 6642 and 6654?

Greatest common factor (GCF) of 6642 and 6654 is 6.

GCF(6642,6654) = 6

We will now calculate the prime factors of 6642 and 6654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6642 and 6654.

How to find the GCF of 6642 and 6654?

We will first find the prime factorization of 6642 and 6654. After we will calculate the factors of 6642 and 6654 and find the biggest common factor number .

Step-1: Prime Factorization of 6642

Prime factors of 6642 are 2, 3, 41. Prime factorization of 6642 in exponential form is:

6642 = 2¹ × 3⁴ × 41¹

Step-2: 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-3: Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321

Step-4: Factors of 6654

List of positive integer factors of 6654 that divides 6642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6642 and 6654. The biggest common factor number is the GCF number.
So the greatest common factor 6642 and 6654 is 6.

Also check out the Least Common Multiple of 6642 and 6654