What is the Greatest Common Factor of 6636 and 6652?

Greatest common factor (GCF) of 6636 and 6652 is 4.

GCF(6636,6652) = 4

We will now calculate the prime factors of 6636 and 6652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6636 and 6652.

How to find the GCF of 6636 and 6652?

We will first find the prime factorization of 6636 and 6652. After we will calculate the factors of 6636 and 6652 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 6652

Prime factors of 6652 are 2, 1663. Prime factorization of 6652 in exponential form is:

6652 = 2² × 1663¹

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 6652

List of positive integer factors of 6652 that divides 6636 without a remainder.

1, 2, 4, 1663, 3326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6636 and 6652. The biggest common factor number is the GCF number.
So the greatest common factor 6636 and 6652 is 4.

Also check out the Least Common Multiple of 6636 and 6652