What is the Greatest Common Factor of 6785 and 6790?

Greatest common factor (GCF) of 6785 and 6790 is 5.

GCF(6785,6790) = 5

We will now calculate the prime factors of 6785 and 6790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6785 and 6790.

How to find the GCF of 6785 and 6790?

We will first find the prime factorization of 6785 and 6790. After we will calculate the factors of 6785 and 6790 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 6790

Prime factors of 6790 are 2, 5, 7, 97. Prime factorization of 6790 in exponential form is:

6790 = 2¹ × 5¹ × 7¹ × 97¹

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 6790

List of positive integer factors of 6790 that divides 6785 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6785 and 6790. The biggest common factor number is the GCF number.
So the greatest common factor 6785 and 6790 is 5.

Also check out the Least Common Multiple of 6785 and 6790