What is the Greatest Common Factor of 34221 and 34235?

Greatest common factor (GCF) of 34221 and 34235 is 1.

GCF(34221,34235) = 1

We will now calculate the prime factors of 34221 and 34235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34221 and 34235.

How to find the GCF of 34221 and 34235?

We will first find the prime factorization of 34221 and 34235. After we will calculate the factors of 34221 and 34235 and find the biggest common factor number .

Step-1: Prime Factorization of 34221

Prime factors of 34221 are 3, 11, 17, 61. Prime factorization of 34221 in exponential form is:

34221 = 3¹ × 11¹ × 17¹ × 61¹

Step-2: 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-3: Factors of 34221

List of positive integer factors of 34221 that divides 34221 without a remainder.

1, 3, 11, 17, 33, 51, 61, 183, 187, 561, 671, 1037, 2013, 3111, 11407

Step-4: Factors of 34235

List of positive integer factors of 34235 that divides 34221 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34221 and 34235. The biggest common factor number is the GCF number.
So the greatest common factor 34221 and 34235 is 1.

Also check out the Least Common Multiple of 34221 and 34235