What is the Greatest Common Factor of 17250 and 17265?

Greatest common factor (GCF) of 17250 and 17265 is 15.

GCF(17250,17265) = 15

We will now calculate the prime factors of 17250 and 17265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17250 and 17265.

How to find the GCF of 17250 and 17265?

We will first find the prime factorization of 17250 and 17265. After we will calculate the factors of 17250 and 17265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17265

Prime factors of 17265 are 3, 5, 1151. Prime factorization of 17265 in exponential form is:

17265 = 3¹ × 5¹ × 1151¹

Step-3: Factors of 17250

List of positive integer factors of 17250 that divides 17250 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

Step-4: Factors of 17265

List of positive integer factors of 17265 that divides 17250 without a remainder.

1, 3, 5, 15, 1151, 3453, 5755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17250 and 17265. The biggest common factor number is the GCF number.
So the greatest common factor 17250 and 17265 is 15.

Also check out the Least Common Multiple of 17250 and 17265