What is the Greatest Common Factor of 17290 and 17305?

Greatest common factor (GCF) of 17290 and 17305 is 5.

GCF(17290,17305) = 5

We will now calculate the prime factors of 17290 and 17305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17290 and 17305.

How to find the GCF of 17290 and 17305?

We will first find the prime factorization of 17290 and 17305. After we will calculate the factors of 17290 and 17305 and find the biggest common factor number .

Step-1: Prime Factorization of 17290

Prime factors of 17290 are 2, 5, 7, 13, 19. Prime factorization of 17290 in exponential form is:

17290 = 2¹ × 5¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 17305

Prime factors of 17305 are 5, 3461. Prime factorization of 17305 in exponential form is:

17305 = 5¹ × 3461¹

Step-3: Factors of 17290

List of positive integer factors of 17290 that divides 17290 without a remainder.

1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645

Step-4: Factors of 17305

List of positive integer factors of 17305 that divides 17290 without a remainder.

1, 5, 3461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17290 and 17305. The biggest common factor number is the GCF number.
So the greatest common factor 17290 and 17305 is 5.

Also check out the Least Common Multiple of 17290 and 17305