What is the Greatest Common Factor of 17035 and 17044?

Greatest common factor (GCF) of 17035 and 17044 is 1.

GCF(17035,17044) = 1

We will now calculate the prime factors of 17035 and 17044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17035 and 17044.

How to find the GCF of 17035 and 17044?

We will first find the prime factorization of 17035 and 17044. After we will calculate the factors of 17035 and 17044 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 17044

Prime factors of 17044 are 2, 4261. Prime factorization of 17044 in exponential form is:

17044 = 2² × 4261¹

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 17044

List of positive integer factors of 17044 that divides 17035 without a remainder.

1, 2, 4, 4261, 8522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17035 and 17044. The biggest common factor number is the GCF number.
So the greatest common factor 17035 and 17044 is 1.

Also check out the Least Common Multiple of 17035 and 17044