What is the Greatest Common Factor of 15180 and 15186?

Greatest common factor (GCF) of 15180 and 15186 is 6.

GCF(15180,15186) = 6

We will now calculate the prime factors of 15180 and 15186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15180 and 15186.

How to find the GCF of 15180 and 15186?

We will first find the prime factorization of 15180 and 15186. After we will calculate the factors of 15180 and 15186 and find the biggest common factor number .

Step-1: Prime Factorization of 15180

Prime factors of 15180 are 2, 3, 5, 11, 23. Prime factorization of 15180 in exponential form is:

15180 = 2² × 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 15186

Prime factors of 15186 are 2, 3, 2531. Prime factorization of 15186 in exponential form is:

15186 = 2¹ × 3¹ × 2531¹

Step-3: Factors of 15180

List of positive integer factors of 15180 that divides 15180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590

Step-4: Factors of 15186

List of positive integer factors of 15186 that divides 15180 without a remainder.

1, 2, 3, 6, 2531, 5062, 7593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15180 and 15186. The biggest common factor number is the GCF number.
So the greatest common factor 15180 and 15186 is 6.

Also check out the Least Common Multiple of 15180 and 15186