What is the Greatest Common Factor of 17025 and 17045?

Greatest common factor (GCF) of 17025 and 17045 is 5.

GCF(17025,17045) = 5

We will now calculate the prime factors of 17025 and 17045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17025 and 17045.

How to find the GCF of 17025 and 17045?

We will first find the prime factorization of 17025 and 17045. After we will calculate the factors of 17025 and 17045 and find the biggest common factor number .

Step-1: Prime Factorization of 17025

Prime factors of 17025 are 3, 5, 227. Prime factorization of 17025 in exponential form is:

17025 = 3¹ × 5² × 227¹

Step-2: Prime Factorization of 17045

Prime factors of 17045 are 5, 7, 487. Prime factorization of 17045 in exponential form is:

17045 = 5¹ × 7¹ × 487¹

Step-3: Factors of 17025

List of positive integer factors of 17025 that divides 17025 without a remainder.

1, 3, 5, 15, 25, 75, 227, 681, 1135, 3405, 5675

Step-4: Factors of 17045

List of positive integer factors of 17045 that divides 17025 without a remainder.

1, 5, 7, 35, 487, 2435, 3409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17025 and 17045. The biggest common factor number is the GCF number.
So the greatest common factor 17025 and 17045 is 5.

Also check out the Least Common Multiple of 17025 and 17045