What is the Greatest Common Factor of 17075 and 17088?

Greatest common factor (GCF) of 17075 and 17088 is 1.

GCF(17075,17088) = 1

We will now calculate the prime factors of 17075 and 17088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17075 and 17088.

How to find the GCF of 17075 and 17088?

We will first find the prime factorization of 17075 and 17088. After we will calculate the factors of 17075 and 17088 and find the biggest common factor number .

Step-1: Prime Factorization of 17075

Prime factors of 17075 are 5, 683. Prime factorization of 17075 in exponential form is:

17075 = 5² × 683¹

Step-2: Prime Factorization of 17088

Prime factors of 17088 are 2, 3, 89. Prime factorization of 17088 in exponential form is:

17088 = 2⁶ × 3¹ × 89¹

Step-3: Factors of 17075

List of positive integer factors of 17075 that divides 17075 without a remainder.

1, 5, 25, 683, 3415

Step-4: Factors of 17088

List of positive integer factors of 17088 that divides 17075 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 178, 192, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 5696, 8544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17075 and 17088. The biggest common factor number is the GCF number.
So the greatest common factor 17075 and 17088 is 1.

Also check out the Least Common Multiple of 17075 and 17088