What is the Greatest Common Factor of 15170 and 15180?

Greatest common factor (GCF) of 15170 and 15180 is 10.

GCF(15170,15180) = 10

We will now calculate the prime factors of 15170 and 15180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15170 and 15180.

How to find the GCF of 15170 and 15180?

We will first find the prime factorization of 15170 and 15180. After we will calculate the factors of 15170 and 15180 and find the biggest common factor number .

Step-1: Prime Factorization of 15170

Prime factors of 15170 are 2, 5, 37, 41. Prime factorization of 15170 in exponential form is:

15170 = 2¹ × 5¹ × 37¹ × 41¹

Step-2: 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-3: Factors of 15170

List of positive integer factors of 15170 that divides 15170 without a remainder.

1, 2, 5, 10, 37, 41, 74, 82, 185, 205, 370, 410, 1517, 3034, 7585

Step-4: Factors of 15180

List of positive integer factors of 15180 that divides 15170 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15170 and 15180. The biggest common factor number is the GCF number.
So the greatest common factor 15170 and 15180 is 10.

Also check out the Least Common Multiple of 15170 and 15180