What is the Greatest Common Factor of 15180 and 15190?

Greatest common factor (GCF) of 15180 and 15190 is 10.

GCF(15180,15190) = 10

We will now calculate the prime factors of 15180 and 15190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15180 and 15190.

How to find the GCF of 15180 and 15190?

We will first find the prime factorization of 15180 and 15190. After we will calculate the factors of 15180 and 15190 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 15190

Prime factors of 15190 are 2, 5, 7, 31. Prime factorization of 15190 in exponential form is:

15190 = 2¹ × 5¹ × 7² × 31¹

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 15190

List of positive integer factors of 15190 that divides 15180 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15180 and 15190. The biggest common factor number is the GCF number.
So the greatest common factor 15180 and 15190 is 10.

Also check out the Least Common Multiple of 15180 and 15190