What is the Greatest Common Factor of 6809 and 6820?

Greatest common factor (GCF) of 6809 and 6820 is 11.

GCF(6809,6820) = 11

We will now calculate the prime factors of 6809 and 6820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6809 and 6820.

How to find the GCF of 6809 and 6820?

We will first find the prime factorization of 6809 and 6820. After we will calculate the factors of 6809 and 6820 and find the biggest common factor number .

Step-1: Prime Factorization of 6809

Prime factors of 6809 are 11, 619. Prime factorization of 6809 in exponential form is:

6809 = 11¹ × 619¹

Step-2: Prime Factorization of 6820

Prime factors of 6820 are 2, 5, 11, 31. Prime factorization of 6820 in exponential form is:

6820 = 2² × 5¹ × 11¹ × 31¹

Step-3: Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1, 11, 619

Step-4: Factors of 6820

List of positive integer factors of 6820 that divides 6809 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6809 and 6820. The biggest common factor number is the GCF number.
So the greatest common factor 6809 and 6820 is 11.

Also check out the Least Common Multiple of 6809 and 6820