What is the Greatest Common Factor of 6744 and 6754?

Greatest common factor (GCF) of 6744 and 6754 is 2.

GCF(6744,6754) = 2

We will now calculate the prime factors of 6744 and 6754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6744 and 6754.

How to find the GCF of 6744 and 6754?

We will first find the prime factorization of 6744 and 6754. After we will calculate the factors of 6744 and 6754 and find the biggest common factor number .

Step-1: Prime Factorization of 6744

Prime factors of 6744 are 2, 3, 281. Prime factorization of 6744 in exponential form is:

6744 = 2³ × 3¹ × 281¹

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 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372

Step-4: Factors of 6754

List of positive integer factors of 6754 that divides 6744 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6744 and 6754. The biggest common factor number is the GCF number.
So the greatest common factor 6744 and 6754 is 2.

Also check out the Least Common Multiple of 6744 and 6754