What is the Greatest Common Factor of 34510 and 34520?

Greatest common factor (GCF) of 34510 and 34520 is 10.

GCF(34510,34520) = 10

We will now calculate the prime factors of 34510 and 34520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34510 and 34520.

How to find the GCF of 34510 and 34520?

We will first find the prime factorization of 34510 and 34520. After we will calculate the factors of 34510 and 34520 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 34520

Prime factors of 34520 are 2, 5, 863. Prime factorization of 34520 in exponential form is:

34520 = 2³ × 5¹ × 863¹

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 34520

List of positive integer factors of 34520 that divides 34510 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 863, 1726, 3452, 4315, 6904, 8630, 17260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34510 and 34520. The biggest common factor number is the GCF number.
So the greatest common factor 34510 and 34520 is 10.

Also check out the Least Common Multiple of 34510 and 34520