What is the Greatest Common Factor of 17144 and 17157?

Greatest common factor (GCF) of 17144 and 17157 is 1.

GCF(17144,17157) = 1

We will now calculate the prime factors of 17144 and 17157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17144 and 17157.

How to find the GCF of 17144 and 17157?

We will first find the prime factorization of 17144 and 17157. After we will calculate the factors of 17144 and 17157 and find the biggest common factor number .

Step-1: Prime Factorization of 17144

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

17144 = 2³ × 2143¹

Step-2: Prime Factorization of 17157

Prime factors of 17157 are 3, 7, 19, 43. Prime factorization of 17157 in exponential form is:

17157 = 3¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 17144

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

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

Step-4: Factors of 17157

List of positive integer factors of 17157 that divides 17144 without a remainder.

1, 3, 7, 19, 21, 43, 57, 129, 133, 301, 399, 817, 903, 2451, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17144 and 17157. The biggest common factor number is the GCF number.
So the greatest common factor 17144 and 17157 is 1.

Also check out the Least Common Multiple of 17144 and 17157