What is the Greatest Common Factor of 17135 and 17142?

Greatest common factor (GCF) of 17135 and 17142 is 1.

GCF(17135,17142) = 1

We will now calculate the prime factors of 17135 and 17142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17135 and 17142.

How to find the GCF of 17135 and 17142?

We will first find the prime factorization of 17135 and 17142. After we will calculate the factors of 17135 and 17142 and find the biggest common factor number .

Step-1: Prime Factorization of 17135

Prime factors of 17135 are 5, 23, 149. Prime factorization of 17135 in exponential form is:

17135 = 5¹ × 23¹ × 149¹

Step-2: Prime Factorization of 17142

Prime factors of 17142 are 2, 3, 2857. Prime factorization of 17142 in exponential form is:

17142 = 2¹ × 3¹ × 2857¹

Step-3: Factors of 17135

List of positive integer factors of 17135 that divides 17135 without a remainder.

1, 5, 23, 115, 149, 745, 3427

Step-4: Factors of 17142

List of positive integer factors of 17142 that divides 17135 without a remainder.

1, 2, 3, 6, 2857, 5714, 8571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17135 and 17142. The biggest common factor number is the GCF number.
So the greatest common factor 17135 and 17142 is 1.

Also check out the Least Common Multiple of 17135 and 17142