What is the Greatest Common Factor of 6057 and 6069?

Greatest common factor (GCF) of 6057 and 6069 is 3.

GCF(6057,6069) = 3

We will now calculate the prime factors of 6057 and 6069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6057 and 6069.

How to find the GCF of 6057 and 6069?

We will first find the prime factorization of 6057 and 6069. After we will calculate the factors of 6057 and 6069 and find the biggest common factor number .

Step-1: Prime Factorization of 6057

Prime factors of 6057 are 3, 673. Prime factorization of 6057 in exponential form is:

6057 = 3² × 673¹

Step-2: Prime Factorization of 6069

Prime factors of 6069 are 3, 7, 17. Prime factorization of 6069 in exponential form is:

6069 = 3¹ × 7¹ × 17²

Step-3: Factors of 6057

List of positive integer factors of 6057 that divides 6057 without a remainder.

1, 3, 9, 673, 2019

Step-4: Factors of 6069

List of positive integer factors of 6069 that divides 6057 without a remainder.

1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6057 and 6069. The biggest common factor number is the GCF number.
So the greatest common factor 6057 and 6069 is 3.

Also check out the Least Common Multiple of 6057 and 6069