What is the Greatest Common Factor of 6769 and 6785?

Greatest common factor (GCF) of 6769 and 6785 is 1.

GCF(6769,6785) = 1

We will now calculate the prime factors of 6769 and 6785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6769 and 6785.

How to find the GCF of 6769 and 6785?

We will first find the prime factorization of 6769 and 6785. After we will calculate the factors of 6769 and 6785 and find the biggest common factor number .

Step-1: Prime Factorization of 6769

Prime factors of 6769 are 7, 967. Prime factorization of 6769 in exponential form is:

6769 = 7¹ × 967¹

Step-2: 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-3: Factors of 6769

List of positive integer factors of 6769 that divides 6769 without a remainder.

1, 7, 967

Step-4: Factors of 6785

List of positive integer factors of 6785 that divides 6769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6769 and 6785. The biggest common factor number is the GCF number.
So the greatest common factor 6769 and 6785 is 1.

Also check out the Least Common Multiple of 6769 and 6785