What is the Greatest Common Factor of 17250 and 17270?

Greatest common factor (GCF) of 17250 and 17270 is 10.

GCF(17250,17270) = 10

We will now calculate the prime factors of 17250 and 17270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17250 and 17270.

How to find the GCF of 17250 and 17270?

We will first find the prime factorization of 17250 and 17270. After we will calculate the factors of 17250 and 17270 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 17270

Prime factors of 17270 are 2, 5, 11, 157. Prime factorization of 17270 in exponential form is:

17270 = 2¹ × 5¹ × 11¹ × 157¹

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 17270

List of positive integer factors of 17270 that divides 17250 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 157, 314, 785, 1570, 1727, 3454, 8635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17250 and 17270. The biggest common factor number is the GCF number.
So the greatest common factor 17250 and 17270 is 10.

Also check out the Least Common Multiple of 17250 and 17270