What is the Greatest Common Factor of 34213 and 34225?

Greatest common factor (GCF) of 34213 and 34225 is 1.

GCF(34213,34225) = 1

We will now calculate the prime factors of 34213 and 34225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34213 and 34225.

How to find the GCF of 34213 and 34225?

We will first find the prime factorization of 34213 and 34225. After we will calculate the factors of 34213 and 34225 and find the biggest common factor number .

Step-1: Prime Factorization of 34213

Prime factors of 34213 are 34213. Prime factorization of 34213 in exponential form is:

34213 = 34213¹

Step-2: Prime Factorization of 34225

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

34225 = 5² × 37²

Step-3: Factors of 34213

List of positive integer factors of 34213 that divides 34213 without a remainder.

Step-4: Factors of 34225

List of positive integer factors of 34225 that divides 34213 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34213 and 34225. The biggest common factor number is the GCF number.
So the greatest common factor 34213 and 34225 is 1.

Also check out the Least Common Multiple of 34213 and 34225