What is the Greatest Common Factor of 6723 and 6736?

Greatest common factor (GCF) of 6723 and 6736 is 1.

GCF(6723,6736) = 1

We will now calculate the prime factors of 6723 and 6736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6723 and 6736.

How to find the GCF of 6723 and 6736?

We will first find the prime factorization of 6723 and 6736. After we will calculate the factors of 6723 and 6736 and find the biggest common factor number .

Step-1: Prime Factorization of 6723

Prime factors of 6723 are 3, 83. Prime factorization of 6723 in exponential form is:

6723 = 3⁴ × 83¹

Step-2: Prime Factorization of 6736

Prime factors of 6736 are 2, 421. Prime factorization of 6736 in exponential form is:

6736 = 2⁴ × 421¹

Step-3: Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1, 3, 9, 27, 81, 83, 249, 747, 2241

Step-4: Factors of 6736

List of positive integer factors of 6736 that divides 6723 without a remainder.

1, 2, 4, 8, 16, 421, 842, 1684, 3368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6723 and 6736. The biggest common factor number is the GCF number.
So the greatest common factor 6723 and 6736 is 1.

Also check out the Least Common Multiple of 6723 and 6736