What is the Greatest Common Factor of 34068 and 34085?

Greatest common factor (GCF) of 34068 and 34085 is 17.

GCF(34068,34085) = 17

We will now calculate the prime factors of 34068 and 34085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34068 and 34085.

How to find the GCF of 34068 and 34085?

We will first find the prime factorization of 34068 and 34085. After we will calculate the factors of 34068 and 34085 and find the biggest common factor number .

Step-1: Prime Factorization of 34068

Prime factors of 34068 are 2, 3, 17, 167. Prime factorization of 34068 in exponential form is:

34068 = 2² × 3¹ × 17¹ × 167¹

Step-2: Prime Factorization of 34085

Prime factors of 34085 are 5, 17, 401. Prime factorization of 34085 in exponential form is:

34085 = 5¹ × 17¹ × 401¹

Step-3: Factors of 34068

List of positive integer factors of 34068 that divides 34068 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 167, 204, 334, 501, 668, 1002, 2004, 2839, 5678, 8517, 11356, 17034

Step-4: Factors of 34085

List of positive integer factors of 34085 that divides 34068 without a remainder.

1, 5, 17, 85, 401, 2005, 6817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34068 and 34085. The biggest common factor number is the GCF number.
So the greatest common factor 34068 and 34085 is 17.

Also check out the Least Common Multiple of 34068 and 34085