What is the Greatest Common Factor of 17140 and 17159?

Greatest common factor (GCF) of 17140 and 17159 is 1.

GCF(17140,17159) = 1

We will now calculate the prime factors of 17140 and 17159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17159.

How to find the GCF of 17140 and 17159?

We will first find the prime factorization of 17140 and 17159. After we will calculate the factors of 17140 and 17159 and find the biggest common factor number .

Step-1: Prime Factorization of 17140

Prime factors of 17140 are 2, 5, 857. Prime factorization of 17140 in exponential form is:

17140 = 2² × 5¹ × 857¹

Step-2: Prime Factorization of 17159

Prime factors of 17159 are 17159. Prime factorization of 17159 in exponential form is:

17159 = 17159¹

Step-3: Factors of 17140

List of positive integer factors of 17140 that divides 17140 without a remainder.

1, 2, 4, 5, 10, 20, 857, 1714, 3428, 4285, 8570

Step-4: Factors of 17159

List of positive integer factors of 17159 that divides 17140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17140 and 17159. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17159 is 1.

Also check out the Least Common Multiple of 17140 and 17159