What is the Greatest Common Factor of 17252 and 17271?

Greatest common factor (GCF) of 17252 and 17271 is 19.

GCF(17252,17271) = 19

We will now calculate the prime factors of 17252 and 17271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17252 and 17271.

How to find the GCF of 17252 and 17271?

We will first find the prime factorization of 17252 and 17271. After we will calculate the factors of 17252 and 17271 and find the biggest common factor number .

Step-1: Prime Factorization of 17252

Prime factors of 17252 are 2, 19, 227. Prime factorization of 17252 in exponential form is:

17252 = 2² × 19¹ × 227¹

Step-2: 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-3: Factors of 17252

List of positive integer factors of 17252 that divides 17252 without a remainder.

1, 2, 4, 19, 38, 76, 227, 454, 908, 4313, 8626

Step-4: Factors of 17271

List of positive integer factors of 17271 that divides 17252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17252 and 17271. The biggest common factor number is the GCF number.
So the greatest common factor 17252 and 17271 is 19.

Also check out the Least Common Multiple of 17252 and 17271