What is the Greatest Common Factor of 6772 and 6785?

Greatest common factor (GCF) of 6772 and 6785 is 1.

GCF(6772,6785) = 1

We will now calculate the prime factors of 6772 and 6785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6772 and 6785.

How to find the GCF of 6772 and 6785?

We will first find the prime factorization of 6772 and 6785. After we will calculate the factors of 6772 and 6785 and find the biggest common factor number .

Step-1: Prime Factorization of 6772

Prime factors of 6772 are 2, 1693. Prime factorization of 6772 in exponential form is:

6772 = 2² × 1693¹

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 6772

List of positive integer factors of 6772 that divides 6772 without a remainder.

1, 2, 4, 1693, 3386

Step-4: Factors of 6785

List of positive integer factors of 6785 that divides 6772 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6772 and 6785. The biggest common factor number is the GCF number.
So the greatest common factor 6772 and 6785 is 1.

Also check out the Least Common Multiple of 6772 and 6785