What is the Greatest Common Factor of 34005 and 34010?

Greatest common factor (GCF) of 34005 and 34010 is 5.

GCF(34005,34010) = 5

We will now calculate the prime factors of 34005 and 34010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34005 and 34010.

How to find the GCF of 34005 and 34010?

We will first find the prime factorization of 34005 and 34010. After we will calculate the factors of 34005 and 34010 and find the biggest common factor number .

Step-1: Prime Factorization of 34005

Prime factors of 34005 are 3, 5, 2267. Prime factorization of 34005 in exponential form is:

34005 = 3¹ × 5¹ × 2267¹

Step-2: 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-3: Factors of 34005

List of positive integer factors of 34005 that divides 34005 without a remainder.

1, 3, 5, 15, 2267, 6801, 11335

Step-4: Factors of 34010

List of positive integer factors of 34010 that divides 34005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34005 and 34010. The biggest common factor number is the GCF number.
So the greatest common factor 34005 and 34010 is 5.

Also check out the Least Common Multiple of 34005 and 34010