What is the Greatest Common Factor of 6636 and 6643?

Greatest common factor (GCF) of 6636 and 6643 is 7.

GCF(6636,6643) = 7

We will now calculate the prime factors of 6636 and 6643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6636 and 6643.

How to find the GCF of 6636 and 6643?

We will first find the prime factorization of 6636 and 6643. After we will calculate the factors of 6636 and 6643 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 6643

Prime factors of 6643 are 7, 13, 73. Prime factorization of 6643 in exponential form is:

6643 = 7¹ × 13¹ × 73¹

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 6643

List of positive integer factors of 6643 that divides 6636 without a remainder.

1, 7, 13, 73, 91, 511, 949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6636 and 6643. The biggest common factor number is the GCF number.
So the greatest common factor 6636 and 6643 is 7.

Also check out the Least Common Multiple of 6636 and 6643