What is the Greatest Common Factor of 6636 and 6642?

Greatest common factor (GCF) of 6636 and 6642 is 6.

GCF(6636,6642) = 6

We will now calculate the prime factors of 6636 and 6642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6636 and 6642.

How to find the GCF of 6636 and 6642?

We will first find the prime factorization of 6636 and 6642. After we will calculate the factors of 6636 and 6642 and find the biggest common factor number .

Step-1: Prime Factorization of 6636

Prime factors of 6636 are 2, 3, 7, 79. Prime factorization of 6636 in exponential form is:

6636 = 2² × 3¹ × 7¹ × 79¹

Step-2: 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-3: Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318

Step-4: Factors of 6642

List of positive integer factors of 6642 that divides 6636 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6636 and 6642. The biggest common factor number is the GCF number.
So the greatest common factor 6636 and 6642 is 6.

Also check out the Least Common Multiple of 6636 and 6642