What is the Greatest Common Factor of 6045 and 6057?

Greatest common factor (GCF) of 6045 and 6057 is 3.

GCF(6045,6057) = 3

We will now calculate the prime factors of 6045 and 6057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6045 and 6057.

How to find the GCF of 6045 and 6057?

We will first find the prime factorization of 6045 and 6057. After we will calculate the factors of 6045 and 6057 and find the biggest common factor number .

Step-1: Prime Factorization of 6045

Prime factors of 6045 are 3, 5, 13, 31. Prime factorization of 6045 in exponential form is:

6045 = 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 6057

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

6057 = 3² × 673¹

Step-3: Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015

Step-4: Factors of 6057

List of positive integer factors of 6057 that divides 6045 without a remainder.

1, 3, 9, 673, 2019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6045 and 6057. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6057 is 3.

Also check out the Least Common Multiple of 6045 and 6057