What is the Greatest Common Factor of 34205 and 34215?

Greatest common factor (GCF) of 34205 and 34215 is 5.

GCF(34205,34215) = 5

We will now calculate the prime factors of 34205 and 34215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34205 and 34215.

How to find the GCF of 34205 and 34215?

We will first find the prime factorization of 34205 and 34215. After we will calculate the factors of 34205 and 34215 and find the biggest common factor number .

Step-1: Prime Factorization of 34205

Prime factors of 34205 are 5, 6841. Prime factorization of 34205 in exponential form is:

34205 = 5¹ × 6841¹

Step-2: Prime Factorization of 34215

Prime factors of 34215 are 3, 5, 2281. Prime factorization of 34215 in exponential form is:

34215 = 3¹ × 5¹ × 2281¹

Step-3: Factors of 34205

List of positive integer factors of 34205 that divides 34205 without a remainder.

1, 5, 6841

Step-4: Factors of 34215

List of positive integer factors of 34215 that divides 34205 without a remainder.

1, 3, 5, 15, 2281, 6843, 11405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34205 and 34215. The biggest common factor number is the GCF number.
So the greatest common factor 34205 and 34215 is 5.

Also check out the Least Common Multiple of 34205 and 34215