What is the Greatest Common Factor of 17258 and 17270?

Greatest common factor (GCF) of 17258 and 17270 is 2.

GCF(17258,17270) = 2

We will now calculate the prime factors of 17258 and 17270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17258 and 17270.

How to find the GCF of 17258 and 17270?

We will first find the prime factorization of 17258 and 17270. After we will calculate the factors of 17258 and 17270 and find the biggest common factor number .

Step-1: Prime Factorization of 17258

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

17258 = 2¹ × 8629¹

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 17258

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

1, 2, 8629

Step-4: Factors of 17270

List of positive integer factors of 17270 that divides 17258 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 17258 and 17270. The biggest common factor number is the GCF number.
So the greatest common factor 17258 and 17270 is 2.

Also check out the Least Common Multiple of 17258 and 17270