What is the Greatest Common Factor of 6785 and 6791?

Greatest common factor (GCF) of 6785 and 6791 is 1.

GCF(6785,6791) = 1

We will now calculate the prime factors of 6785 and 6791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6785 and 6791.

How to find the GCF of 6785 and 6791?

We will first find the prime factorization of 6785 and 6791. After we will calculate the factors of 6785 and 6791 and find the biggest common factor number .

Step-1: Prime Factorization of 6785

Prime factors of 6785 are 5, 23, 59. Prime factorization of 6785 in exponential form is:

6785 = 5¹ × 23¹ × 59¹

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 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1, 5, 23, 59, 115, 295, 1357

Step-4: Factors of 6791

List of positive integer factors of 6791 that divides 6785 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6785 and 6791. The biggest common factor number is the GCF number.
So the greatest common factor 6785 and 6791 is 1.

Also check out the Least Common Multiple of 6785 and 6791