What is the Greatest Common Factor of 6744 and 6763?

Greatest common factor (GCF) of 6744 and 6763 is 1.

GCF(6744,6763) = 1

We will now calculate the prime factors of 6744 and 6763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6744 and 6763.

How to find the GCF of 6744 and 6763?

We will first find the prime factorization of 6744 and 6763. After we will calculate the factors of 6744 and 6763 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 6763

Prime factors of 6763 are 6763. Prime factorization of 6763 in exponential form is:

6763 = 6763¹

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 6763

List of positive integer factors of 6763 that divides 6744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6744 and 6763. The biggest common factor number is the GCF number.
So the greatest common factor 6744 and 6763 is 1.

Also check out the Least Common Multiple of 6744 and 6763