What is the Greatest Common Factor of 17230 and 17250?

Greatest common factor (GCF) of 17230 and 17250 is 10.

GCF(17230,17250) = 10

We will now calculate the prime factors of 17230 and 17250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17230 and 17250.

How to find the GCF of 17230 and 17250?

We will first find the prime factorization of 17230 and 17250. After we will calculate the factors of 17230 and 17250 and find the biggest common factor number .

Step-1: Prime Factorization of 17230

Prime factors of 17230 are 2, 5, 1723. Prime factorization of 17230 in exponential form is:

17230 = 2¹ × 5¹ × 1723¹

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 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615

Step-4: Factors of 17250

List of positive integer factors of 17250 that divides 17230 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 17230 and 17250. The biggest common factor number is the GCF number.
So the greatest common factor 17230 and 17250 is 10.

Also check out the Least Common Multiple of 17230 and 17250