What is the Greatest Common Factor of 15180 and 15191?

Greatest common factor (GCF) of 15180 and 15191 is 11.

GCF(15180,15191) = 11

We will now calculate the prime factors of 15180 and 15191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15180 and 15191.

How to find the GCF of 15180 and 15191?

We will first find the prime factorization of 15180 and 15191. After we will calculate the factors of 15180 and 15191 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 15191

Prime factors of 15191 are 11, 1381. Prime factorization of 15191 in exponential form is:

15191 = 11¹ × 1381¹

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 15191

List of positive integer factors of 15191 that divides 15180 without a remainder.

1, 11, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15180 and 15191. The biggest common factor number is the GCF number.
So the greatest common factor 15180 and 15191 is 11.

Also check out the Least Common Multiple of 15180 and 15191