What is the Greatest Common Factor of 17235 and 17250?

Greatest common factor (GCF) of 17235 and 17250 is 15.

GCF(17235,17250) = 15

We will now calculate the prime factors of 17235 and 17250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17235 and 17250.

How to find the GCF of 17235 and 17250?

We will first find the prime factorization of 17235 and 17250. After we will calculate the factors of 17235 and 17250 and find the biggest common factor number .

Step-1: Prime Factorization of 17235

Prime factors of 17235 are 3, 5, 383. Prime factorization of 17235 in exponential form is:

17235 = 3² × 5¹ × 383¹

Step-2: Prime Factorization of 17250

Prime factors of 17250 are 2, 3, 5, 23. Prime factorization of 17250 in exponential form is:

17250 = 2¹ × 3¹ × 5³ × 23¹

Step-3: Factors of 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745

Step-4: Factors of 17250

List of positive integer factors of 17250 that divides 17235 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 125, 138, 150, 230, 250, 345, 375, 575, 690, 750, 1150, 1725, 2875, 3450, 5750, 8625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17235 and 17250. The biggest common factor number is the GCF number.
So the greatest common factor 17235 and 17250 is 15.

Also check out the Least Common Multiple of 17235 and 17250