What is the Greatest Common Factor of 17252 and 17266?

Greatest common factor (GCF) of 17252 and 17266 is 2.

GCF(17252,17266) = 2

We will now calculate the prime factors of 17252 and 17266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17252 and 17266.

How to find the GCF of 17252 and 17266?

We will first find the prime factorization of 17252 and 17266. After we will calculate the factors of 17252 and 17266 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 17266

Prime factors of 17266 are 2, 89, 97. Prime factorization of 17266 in exponential form is:

17266 = 2¹ × 89¹ × 97¹

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 17266

List of positive integer factors of 17266 that divides 17252 without a remainder.

1, 2, 89, 97, 178, 194, 8633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17252 and 17266. The biggest common factor number is the GCF number.
So the greatest common factor 17252 and 17266 is 2.

Also check out the Least Common Multiple of 17252 and 17266