What is the Greatest Common Factor of 6643 and 6656?

Greatest common factor (GCF) of 6643 and 6656 is 13.

GCF(6643,6656) = 13

We will now calculate the prime factors of 6643 and 6656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6643 and 6656.

How to find the GCF of 6643 and 6656?

We will first find the prime factorization of 6643 and 6656. After we will calculate the factors of 6643 and 6656 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6656

Prime factors of 6656 are 2, 13. Prime factorization of 6656 in exponential form is:

6656 = 2⁹ × 13¹

Step-3: Factors of 6643

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

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

Step-4: Factors of 6656

List of positive integer factors of 6656 that divides 6643 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6643 and 6656. The biggest common factor number is the GCF number.
So the greatest common factor 6643 and 6656 is 13.

Also check out the Least Common Multiple of 6643 and 6656