What is the Greatest Common Factor of 15150 and 15170?

Greatest common factor (GCF) of 15150 and 15170 is 10.

GCF(15150,15170) = 10

We will now calculate the prime factors of 15150 and 15170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15150 and 15170.

How to find the GCF of 15150 and 15170?

We will first find the prime factorization of 15150 and 15170. After we will calculate the factors of 15150 and 15170 and find the biggest common factor number .

Step-1: Prime Factorization of 15150

Prime factors of 15150 are 2, 3, 5, 101. Prime factorization of 15150 in exponential form is:

15150 = 2¹ × 3¹ × 5² × 101¹

Step-2: 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-3: Factors of 15150

List of positive integer factors of 15150 that divides 15150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 101, 150, 202, 303, 505, 606, 1010, 1515, 2525, 3030, 5050, 7575

Step-4: Factors of 15170

List of positive integer factors of 15170 that divides 15150 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15150 and 15170. The biggest common factor number is the GCF number.
So the greatest common factor 15150 and 15170 is 10.

Also check out the Least Common Multiple of 15150 and 15170