What is the Greatest Common Factor of 17140 and 17157?

Greatest common factor (GCF) of 17140 and 17157 is 1.

GCF(17140,17157) = 1

We will now calculate the prime factors of 17140 and 17157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17157.

How to find the GCF of 17140 and 17157?

We will first find the prime factorization of 17140 and 17157. After we will calculate the factors of 17140 and 17157 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 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 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 17157

List of positive integer factors of 17157 that divides 17140 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 17140 and 17157. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17157 is 1.

Also check out the Least Common Multiple of 17140 and 17157