What is the Greatest Common Factor of 34235 and 34255?

Greatest common factor (GCF) of 34235 and 34255 is 5.

GCF(34235,34255) = 5

We will now calculate the prime factors of 34235 and 34255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34235 and 34255.

How to find the GCF of 34235 and 34255?

We will first find the prime factorization of 34235 and 34255. After we will calculate the factors of 34235 and 34255 and find the biggest common factor number .

Step-1: Prime Factorization of 34235

Prime factors of 34235 are 5, 41, 167. Prime factorization of 34235 in exponential form is:

34235 = 5¹ × 41¹ × 167¹

Step-2: Prime Factorization of 34255

Prime factors of 34255 are 5, 13, 17, 31. Prime factorization of 34255 in exponential form is:

34255 = 5¹ × 13¹ × 17¹ × 31¹

Step-3: Factors of 34235

List of positive integer factors of 34235 that divides 34235 without a remainder.

1, 5, 41, 167, 205, 835, 6847

Step-4: Factors of 34255

List of positive integer factors of 34255 that divides 34235 without a remainder.

1, 5, 13, 17, 31, 65, 85, 155, 221, 403, 527, 1105, 2015, 2635, 6851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34235 and 34255. The biggest common factor number is the GCF number.
So the greatest common factor 34235 and 34255 is 5.

Also check out the Least Common Multiple of 34235 and 34255