What is the Greatest Common Factor of 6756 and 6764?

Greatest common factor (GCF) of 6756 and 6764 is 4.

GCF(6756,6764) = 4

We will now calculate the prime factors of 6756 and 6764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6756 and 6764.

How to find the GCF of 6756 and 6764?

We will first find the prime factorization of 6756 and 6764. After we will calculate the factors of 6756 and 6764 and find the biggest common factor number .

Step-1: Prime Factorization of 6756

Prime factors of 6756 are 2, 3, 563. Prime factorization of 6756 in exponential form is:

6756 = 2² × 3¹ × 563¹

Step-2: Prime Factorization of 6764

Prime factors of 6764 are 2, 19, 89. Prime factorization of 6764 in exponential form is:

6764 = 2² × 19¹ × 89¹

Step-3: Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378

Step-4: Factors of 6764

List of positive integer factors of 6764 that divides 6756 without a remainder.

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6756 and 6764. The biggest common factor number is the GCF number.
So the greatest common factor 6756 and 6764 is 4.

Also check out the Least Common Multiple of 6756 and 6764