What is the Greatest Common Factor of 6754 and 6761?

Greatest common factor (GCF) of 6754 and 6761 is 1.

GCF(6754,6761) = 1

We will now calculate the prime factors of 6754 and 6761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6754 and 6761.

How to find the GCF of 6754 and 6761?

We will first find the prime factorization of 6754 and 6761. After we will calculate the factors of 6754 and 6761 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6761

Prime factors of 6761 are 6761. Prime factorization of 6761 in exponential form is:

6761 = 6761¹

Step-3: Factors of 6754

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

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

Step-4: Factors of 6761

List of positive integer factors of 6761 that divides 6754 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6754 and 6761. The biggest common factor number is the GCF number.
So the greatest common factor 6754 and 6761 is 1.

Also check out the Least Common Multiple of 6754 and 6761