What is the Greatest Common Factor of 12030 and 12045?

Greatest common factor (GCF) of 12030 and 12045 is 15.

GCF(12030,12045) = 15

We will now calculate the prime factors of 12030 and 12045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12030 and 12045.

How to find the GCF of 12030 and 12045?

We will first find the prime factorization of 12030 and 12045. After we will calculate the factors of 12030 and 12045 and find the biggest common factor number .

Step-1: Prime Factorization of 12030

Prime factors of 12030 are 2, 3, 5, 401. Prime factorization of 12030 in exponential form is:

12030 = 2¹ × 3¹ × 5¹ × 401¹

Step-2: 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-3: Factors of 12030

List of positive integer factors of 12030 that divides 12030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 401, 802, 1203, 2005, 2406, 4010, 6015

Step-4: Factors of 12045

List of positive integer factors of 12045 that divides 12030 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12030 and 12045. The biggest common factor number is the GCF number.
So the greatest common factor 12030 and 12045 is 15.

Also check out the Least Common Multiple of 12030 and 12045