What is the Greatest Common Factor of 17138 and 17144?

Greatest common factor (GCF) of 17138 and 17144 is 2.

GCF(17138,17144) = 2

We will now calculate the prime factors of 17138 and 17144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17138 and 17144.

How to find the GCF of 17138 and 17144?

We will first find the prime factorization of 17138 and 17144. After we will calculate the factors of 17138 and 17144 and find the biggest common factor number .

Step-1: Prime Factorization of 17138

Prime factors of 17138 are 2, 11, 19, 41. Prime factorization of 17138 in exponential form is:

17138 = 2¹ × 11¹ × 19¹ × 41¹

Step-2: Prime Factorization of 17144

Prime factors of 17144 are 2, 2143. Prime factorization of 17144 in exponential form is:

17144 = 2³ × 2143¹

Step-3: Factors of 17138

List of positive integer factors of 17138 that divides 17138 without a remainder.

1, 2, 11, 19, 22, 38, 41, 82, 209, 418, 451, 779, 902, 1558, 8569

Step-4: Factors of 17144

List of positive integer factors of 17144 that divides 17138 without a remainder.

1, 2, 4, 8, 2143, 4286, 8572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17138 and 17144. The biggest common factor number is the GCF number.
So the greatest common factor 17138 and 17144 is 2.

Also check out the Least Common Multiple of 17138 and 17144