What is the Greatest Common Factor of 34504 and 34517?

Greatest common factor (GCF) of 34504 and 34517 is 1.

GCF(34504,34517) = 1

We will now calculate the prime factors of 34504 and 34517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34504 and 34517.

How to find the GCF of 34504 and 34517?

We will first find the prime factorization of 34504 and 34517. After we will calculate the factors of 34504 and 34517 and find the biggest common factor number .

Step-1: Prime Factorization of 34504

Prime factors of 34504 are 2, 19, 227. Prime factorization of 34504 in exponential form is:

34504 = 2³ × 19¹ × 227¹

Step-2: Prime Factorization of 34517

Prime factors of 34517 are 7, 4931. Prime factorization of 34517 in exponential form is:

34517 = 7¹ × 4931¹

Step-3: Factors of 34504

List of positive integer factors of 34504 that divides 34504 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 227, 454, 908, 1816, 4313, 8626, 17252

Step-4: Factors of 34517

List of positive integer factors of 34517 that divides 34504 without a remainder.

1, 7, 4931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34504 and 34517. The biggest common factor number is the GCF number.
So the greatest common factor 34504 and 34517 is 1.

Also check out the Least Common Multiple of 34504 and 34517