What is the Greatest Common Factor of 17250 and 17258?

Greatest common factor (GCF) of 17250 and 17258 is 2.

GCF(17250,17258) = 2

We will now calculate the prime factors of 17250 and 17258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17250 and 17258.

How to find the GCF of 17250 and 17258?

We will first find the prime factorization of 17250 and 17258. After we will calculate the factors of 17250 and 17258 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 17258

Prime factors of 17258 are 2, 8629. Prime factorization of 17258 in exponential form is:

17258 = 2¹ × 8629¹

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 17258

List of positive integer factors of 17258 that divides 17250 without a remainder.

1, 2, 8629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17250 and 17258. The biggest common factor number is the GCF number.
So the greatest common factor 17250 and 17258 is 2.

Also check out the Least Common Multiple of 17250 and 17258