What is the Greatest Common Factor of 6743 and 6754?

Greatest common factor (GCF) of 6743 and 6754 is 11.

GCF(6743,6754) = 11

We will now calculate the prime factors of 6743 and 6754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6743 and 6754.

How to find the GCF of 6743 and 6754?

We will first find the prime factorization of 6743 and 6754. After we will calculate the factors of 6743 and 6754 and find the biggest common factor number .

Step-1: Prime Factorization of 6743

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

6743 = 11¹ × 613¹

Step-2: Prime Factorization of 6754

Prime factors of 6754 are 2, 11, 307. Prime factorization of 6754 in exponential form is:

6754 = 2¹ × 11¹ × 307¹

Step-3: Factors of 6743

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

1, 11, 613

Step-4: Factors of 6754

List of positive integer factors of 6754 that divides 6743 without a remainder.

1, 2, 11, 22, 307, 614, 3377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6743 and 6754. The biggest common factor number is the GCF number.
So the greatest common factor 6743 and 6754 is 11.

Also check out the Least Common Multiple of 6743 and 6754