What is the Greatest Common Factor of 6756 and 6768?

Greatest common factor (GCF) of 6756 and 6768 is 12.

GCF(6756,6768) = 12

We will now calculate the prime factors of 6756 and 6768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6756 and 6768.

How to find the GCF of 6756 and 6768?

We will first find the prime factorization of 6756 and 6768. After we will calculate the factors of 6756 and 6768 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 6768

Prime factors of 6768 are 2, 3, 47. Prime factorization of 6768 in exponential form is:

6768 = 2⁴ × 3² × 47¹

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 6768

List of positive integer factors of 6768 that divides 6756 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6756 and 6768. The biggest common factor number is the GCF number.
So the greatest common factor 6756 and 6768 is 12.

Also check out the Least Common Multiple of 6756 and 6768