What is the Greatest Common Factor of 6732 and 6743?

Greatest common factor (GCF) of 6732 and 6743 is 11.

GCF(6732,6743) = 11

We will now calculate the prime factors of 6732 and 6743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6732 and 6743.

How to find the GCF of 6732 and 6743?

We will first find the prime factorization of 6732 and 6743. After we will calculate the factors of 6732 and 6743 and find the biggest common factor number .

Step-1: Prime Factorization of 6732

Prime factors of 6732 are 2, 3, 11, 17. Prime factorization of 6732 in exponential form is:

6732 = 2² × 3² × 11¹ × 17¹

Step-2: Prime Factorization of 6743

Prime factors of 6743 are 11, 613. Prime factorization of 6743 in exponential form is:

6743 = 11¹ × 613¹

Step-3: Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366

Step-4: Factors of 6743

List of positive integer factors of 6743 that divides 6732 without a remainder.

1, 11, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6732 and 6743. The biggest common factor number is the GCF number.
So the greatest common factor 6732 and 6743 is 11.

Also check out the Least Common Multiple of 6732 and 6743