What is the Greatest Common Factor of 34225 and 34234?

Greatest common factor (GCF) of 34225 and 34234 is 1.

GCF(34225,34234) = 1

We will now calculate the prime factors of 34225 and 34234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34225 and 34234.

How to find the GCF of 34225 and 34234?

We will first find the prime factorization of 34225 and 34234. After we will calculate the factors of 34225 and 34234 and find the biggest common factor number .

Step-1: Prime Factorization of 34225

Prime factors of 34225 are 5, 37. Prime factorization of 34225 in exponential form is:

34225 = 5² × 37²

Step-2: Prime Factorization of 34234

Prime factors of 34234 are 2, 17117. Prime factorization of 34234 in exponential form is:

34234 = 2¹ × 17117¹

Step-3: Factors of 34225

List of positive integer factors of 34225 that divides 34225 without a remainder.

1, 5, 25, 37, 185, 925, 1369, 6845

Step-4: Factors of 34234

List of positive integer factors of 34234 that divides 34225 without a remainder.

1, 2, 17117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34225 and 34234. The biggest common factor number is the GCF number.
So the greatest common factor 34225 and 34234 is 1.

Also check out the Least Common Multiple of 34225 and 34234