What is the Greatest Common Factor of 34510 and 34517?

Greatest common factor (GCF) of 34510 and 34517 is 7.

GCF(34510,34517) = 7

We will now calculate the prime factors of 34510 and 34517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34510 and 34517.

How to find the GCF of 34510 and 34517?

We will first find the prime factorization of 34510 and 34517. After we will calculate the factors of 34510 and 34517 and find the biggest common factor number .

Step-1: Prime Factorization of 34510

Prime factors of 34510 are 2, 5, 7, 17, 29. Prime factorization of 34510 in exponential form is:

34510 = 2¹ × 5¹ × 7¹ × 17¹ × 29¹

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 34510

List of positive integer factors of 34510 that divides 34510 without a remainder.

1, 2, 5, 7, 10, 14, 17, 29, 34, 35, 58, 70, 85, 119, 145, 170, 203, 238, 290, 406, 493, 595, 986, 1015, 1190, 2030, 2465, 3451, 4930, 6902, 17255

Step-4: Factors of 34517

List of positive integer factors of 34517 that divides 34510 without a remainder.

1, 7, 4931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34510 and 34517. The biggest common factor number is the GCF number.
So the greatest common factor 34510 and 34517 is 7.

Also check out the Least Common Multiple of 34510 and 34517