What is the Greatest Common Factor of 17278 and 17288?

Greatest common factor (GCF) of 17278 and 17288 is 2.

GCF(17278,17288) = 2

We will now calculate the prime factors of 17278 and 17288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17278 and 17288.

How to find the GCF of 17278 and 17288?

We will first find the prime factorization of 17278 and 17288. After we will calculate the factors of 17278 and 17288 and find the biggest common factor number .

Step-1: Prime Factorization of 17278

Prime factors of 17278 are 2, 53, 163. Prime factorization of 17278 in exponential form is:

17278 = 2¹ × 53¹ × 163¹

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 17278

List of positive integer factors of 17278 that divides 17278 without a remainder.

1, 2, 53, 106, 163, 326, 8639

Step-4: Factors of 17288

List of positive integer factors of 17288 that divides 17278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17278 and 17288. The biggest common factor number is the GCF number.
So the greatest common factor 17278 and 17288 is 2.

Also check out the Least Common Multiple of 17278 and 17288