What is the Greatest Common Factor of 6780 and 6791?

Greatest common factor (GCF) of 6780 and 6791 is 1.

GCF(6780,6791) = 1

We will now calculate the prime factors of 6780 and 6791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6780 and 6791.

How to find the GCF of 6780 and 6791?

We will first find the prime factorization of 6780 and 6791. After we will calculate the factors of 6780 and 6791 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 6791

Prime factors of 6791 are 6791. Prime factorization of 6791 in exponential form is:

6791 = 6791¹

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 6791

List of positive integer factors of 6791 that divides 6780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6780 and 6791. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6791 is 1.

Also check out the Least Common Multiple of 6780 and 6791