What is the Greatest Common Factor of 17045 and 17065?

Greatest common factor (GCF) of 17045 and 17065 is 5.

GCF(17045,17065) = 5

We will now calculate the prime factors of 17045 and 17065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17045 and 17065.

How to find the GCF of 17045 and 17065?

We will first find the prime factorization of 17045 and 17065. After we will calculate the factors of 17045 and 17065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17065

Prime factors of 17065 are 5, 3413. Prime factorization of 17065 in exponential form is:

17065 = 5¹ × 3413¹

Step-3: Factors of 17045

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

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

Step-4: Factors of 17065

List of positive integer factors of 17065 that divides 17045 without a remainder.

1, 5, 3413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17045 and 17065. The biggest common factor number is the GCF number.
So the greatest common factor 17045 and 17065 is 5.

Also check out the Least Common Multiple of 17045 and 17065