What is the Greatest Common Factor of 34010 and 34015?

Greatest common factor (GCF) of 34010 and 34015 is 5.

GCF(34010,34015) = 5

We will now calculate the prime factors of 34010 and 34015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34010 and 34015.

How to find the GCF of 34010 and 34015?

We will first find the prime factorization of 34010 and 34015. After we will calculate the factors of 34010 and 34015 and find the biggest common factor number .

Step-1: Prime Factorization of 34010

Prime factors of 34010 are 2, 5, 19, 179. Prime factorization of 34010 in exponential form is:

34010 = 2¹ × 5¹ × 19¹ × 179¹

Step-2: Prime Factorization of 34015

Prime factors of 34015 are 5, 6803. Prime factorization of 34015 in exponential form is:

34015 = 5¹ × 6803¹

Step-3: Factors of 34010

List of positive integer factors of 34010 that divides 34010 without a remainder.

1, 2, 5, 10, 19, 38, 95, 179, 190, 358, 895, 1790, 3401, 6802, 17005

Step-4: Factors of 34015

List of positive integer factors of 34015 that divides 34010 without a remainder.

1, 5, 6803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34010 and 34015. The biggest common factor number is the GCF number.
So the greatest common factor 34010 and 34015 is 5.

Also check out the Least Common Multiple of 34010 and 34015