What is the Greatest Common Factor of 17250 and 17262?

Greatest common factor (GCF) of 17250 and 17262 is 6.

GCF(17250,17262) = 6

We will now calculate the prime factors of 17250 and 17262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17250 and 17262.

How to find the GCF of 17250 and 17262?

We will first find the prime factorization of 17250 and 17262. After we will calculate the factors of 17250 and 17262 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 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 2¹ × 3² × 7¹ × 137¹

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 17262

List of positive integer factors of 17262 that divides 17250 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17250 and 17262. The biggest common factor number is the GCF number.
So the greatest common factor 17250 and 17262 is 6.

Also check out the Least Common Multiple of 17250 and 17262