What is the Greatest Common Factor of 17035 and 17045?

Greatest common factor (GCF) of 17035 and 17045 is 5.

GCF(17035,17045) = 5

We will now calculate the prime factors of 17035 and 17045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17035 and 17045.

How to find the GCF of 17035 and 17045?

We will first find the prime factorization of 17035 and 17045. After we will calculate the factors of 17035 and 17045 and find the biggest common factor number .

Step-1: Prime Factorization of 17035

Prime factors of 17035 are 5, 3407. Prime factorization of 17035 in exponential form is:

17035 = 5¹ × 3407¹

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 17035

List of positive integer factors of 17035 that divides 17035 without a remainder.

1, 5, 3407

Step-4: Factors of 17045

List of positive integer factors of 17045 that divides 17035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17035 and 17045. The biggest common factor number is the GCF number.
So the greatest common factor 17035 and 17045 is 5.

Also check out the Least Common Multiple of 17035 and 17045