What is the Greatest Common Factor of 34105 and 34110?

Greatest common factor (GCF) of 34105 and 34110 is 5.

GCF(34105,34110) = 5

We will now calculate the prime factors of 34105 and 34110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34105 and 34110.

How to find the GCF of 34105 and 34110?

We will first find the prime factorization of 34105 and 34110. After we will calculate the factors of 34105 and 34110 and find the biggest common factor number .

Step-1: Prime Factorization of 34105

Prime factors of 34105 are 5, 19, 359. Prime factorization of 34105 in exponential form is:

34105 = 5¹ × 19¹ × 359¹

Step-2: Prime Factorization of 34110

Prime factors of 34110 are 2, 3, 5, 379. Prime factorization of 34110 in exponential form is:

34110 = 2¹ × 3² × 5¹ × 379¹

Step-3: Factors of 34105

List of positive integer factors of 34105 that divides 34105 without a remainder.

1, 5, 19, 95, 359, 1795, 6821

Step-4: Factors of 34110

List of positive integer factors of 34110 that divides 34105 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 379, 758, 1137, 1895, 2274, 3411, 3790, 5685, 6822, 11370, 17055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34105 and 34110. The biggest common factor number is the GCF number.
So the greatest common factor 34105 and 34110 is 5.

Also check out the Least Common Multiple of 34105 and 34110