What is the Greatest Common Factor of 6045 and 6054?

Greatest common factor (GCF) of 6045 and 6054 is 3.

GCF(6045,6054) = 3

We will now calculate the prime factors of 6045 and 6054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6045 and 6054.

How to find the GCF of 6045 and 6054?

We will first find the prime factorization of 6045 and 6054. After we will calculate the factors of 6045 and 6054 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 6054

Prime factors of 6054 are 2, 3, 1009. Prime factorization of 6054 in exponential form is:

6054 = 2¹ × 3¹ × 1009¹

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 6054

List of positive integer factors of 6054 that divides 6045 without a remainder.

1, 2, 3, 6, 1009, 2018, 3027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6045 and 6054. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6054 is 3.

Also check out the Least Common Multiple of 6045 and 6054