What is the Greatest Common Factor of 17128 and 17142?

Greatest common factor (GCF) of 17128 and 17142 is 2.

GCF(17128,17142) = 2

We will now calculate the prime factors of 17128 and 17142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17128 and 17142.

How to find the GCF of 17128 and 17142?

We will first find the prime factorization of 17128 and 17142. After we will calculate the factors of 17128 and 17142 and find the biggest common factor number .

Step-1: Prime Factorization of 17128

Prime factors of 17128 are 2, 2141. Prime factorization of 17128 in exponential form is:

17128 = 2³ × 2141¹

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 17128

List of positive integer factors of 17128 that divides 17128 without a remainder.

1, 2, 4, 8, 2141, 4282, 8564

Step-4: Factors of 17142

List of positive integer factors of 17142 that divides 17128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17128 and 17142. The biggest common factor number is the GCF number.
So the greatest common factor 17128 and 17142 is 2.

Also check out the Least Common Multiple of 17128 and 17142