What is the Greatest Common Factor of 17271 and 17290?

Greatest common factor (GCF) of 17271 and 17290 is 19.

GCF(17271,17290) = 19

We will now calculate the prime factors of 17271 and 17290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17271 and 17290.

How to find the GCF of 17271 and 17290?

We will first find the prime factorization of 17271 and 17290. After we will calculate the factors of 17271 and 17290 and find the biggest common factor number .

Step-1: Prime Factorization of 17271

Prime factors of 17271 are 3, 19, 101. Prime factorization of 17271 in exponential form is:

17271 = 3² × 19¹ × 101¹

Step-2: 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-3: Factors of 17271

List of positive integer factors of 17271 that divides 17271 without a remainder.

1, 3, 9, 19, 57, 101, 171, 303, 909, 1919, 5757

Step-4: Factors of 17290

List of positive integer factors of 17290 that divides 17271 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17271 and 17290. The biggest common factor number is the GCF number.
So the greatest common factor 17271 and 17290 is 19.

Also check out the Least Common Multiple of 17271 and 17290