What is the Greatest Common Factor of 6780 and 6788?

Greatest common factor (GCF) of 6780 and 6788 is 4.

GCF(6780,6788) = 4

We will now calculate the prime factors of 6780 and 6788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6780 and 6788.

How to find the GCF of 6780 and 6788?

We will first find the prime factorization of 6780 and 6788. After we will calculate the factors of 6780 and 6788 and find the biggest common factor number .

Step-1: Prime Factorization of 6780

Prime factors of 6780 are 2, 3, 5, 113. Prime factorization of 6780 in exponential form is:

6780 = 2² × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 6788

Prime factors of 6788 are 2, 1697. Prime factorization of 6788 in exponential form is:

6788 = 2² × 1697¹

Step-3: Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390

Step-4: Factors of 6788

List of positive integer factors of 6788 that divides 6780 without a remainder.

1, 2, 4, 1697, 3394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6780 and 6788. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6788 is 4.

Also check out the Least Common Multiple of 6780 and 6788