What is the Greatest Common Factor of 12045 and 12057?

Greatest common factor (GCF) of 12045 and 12057 is 3.

GCF(12045,12057) = 3

We will now calculate the prime factors of 12045 and 12057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12045 and 12057.

How to find the GCF of 12045 and 12057?

We will first find the prime factorization of 12045 and 12057. After we will calculate the factors of 12045 and 12057 and find the biggest common factor number .

Step-1: Prime Factorization of 12045

Prime factors of 12045 are 3, 5, 11, 73. Prime factorization of 12045 in exponential form is:

12045 = 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 12057

Prime factors of 12057 are 3, 4019. Prime factorization of 12057 in exponential form is:

12057 = 3¹ × 4019¹

Step-3: Factors of 12045

List of positive integer factors of 12045 that divides 12045 without a remainder.

1, 3, 5, 11, 15, 33, 55, 73, 165, 219, 365, 803, 1095, 2409, 4015

Step-4: Factors of 12057

List of positive integer factors of 12057 that divides 12045 without a remainder.

1, 3, 4019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12045 and 12057. The biggest common factor number is the GCF number.
So the greatest common factor 12045 and 12057 is 3.

Also check out the Least Common Multiple of 12045 and 12057