What is the Greatest Common Factor of 3069 and 3085?

Greatest common factor (GCF) of 3069 and 3085 is 1.

GCF(3069,3085) = 1

We will now calculate the prime factors of 3069 and 3085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3069 and 3085.

How to find the GCF of 3069 and 3085?

We will first find the prime factorization of 3069 and 3085. After we will calculate the factors of 3069 and 3085 and find the biggest common factor number .

Step-1: Prime Factorization of 3069

Prime factors of 3069 are 3, 11, 31. Prime factorization of 3069 in exponential form is:

3069 = 3² × 11¹ × 31¹

Step-2: Prime Factorization of 3085

Prime factors of 3085 are 5, 617. Prime factorization of 3085 in exponential form is:

3085 = 5¹ × 617¹

Step-3: Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023

Step-4: Factors of 3085

List of positive integer factors of 3085 that divides 3069 without a remainder.

1, 5, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3069 and 3085. The biggest common factor number is the GCF number.
So the greatest common factor 3069 and 3085 is 1.

Also check out the Least Common Multiple of 3069 and 3085