What is the Greatest Common Factor of 17274 and 17288?

Greatest common factor (GCF) of 17274 and 17288 is 2.

GCF(17274,17288) = 2

We will now calculate the prime factors of 17274 and 17288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17274 and 17288.

How to find the GCF of 17274 and 17288?

We will first find the prime factorization of 17274 and 17288. After we will calculate the factors of 17274 and 17288 and find the biggest common factor number .

Step-1: Prime Factorization of 17274

Prime factors of 17274 are 2, 3, 2879. Prime factorization of 17274 in exponential form is:

17274 = 2¹ × 3¹ × 2879¹

Step-2: Prime Factorization of 17288

Prime factors of 17288 are 2, 2161. Prime factorization of 17288 in exponential form is:

17288 = 2³ × 2161¹

Step-3: Factors of 17274

List of positive integer factors of 17274 that divides 17274 without a remainder.

1, 2, 3, 6, 2879, 5758, 8637

Step-4: Factors of 17288

List of positive integer factors of 17288 that divides 17274 without a remainder.

1, 2, 4, 8, 2161, 4322, 8644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17274 and 17288. The biggest common factor number is the GCF number.
So the greatest common factor 17274 and 17288 is 2.

Also check out the Least Common Multiple of 17274 and 17288