What is the Greatest Common Factor of 34213 and 34230?

Greatest common factor (GCF) of 34213 and 34230 is 1.

GCF(34213,34230) = 1

We will now calculate the prime factors of 34213 and 34230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34213 and 34230.

How to find the GCF of 34213 and 34230?

We will first find the prime factorization of 34213 and 34230. After we will calculate the factors of 34213 and 34230 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 34230

Prime factors of 34230 are 2, 3, 5, 7, 163. Prime factorization of 34230 in exponential form is:

34230 = 2¹ × 3¹ × 5¹ × 7¹ × 163¹

Step-3: Factors of 34213

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

Step-4: Factors of 34230

List of positive integer factors of 34230 that divides 34213 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 163, 210, 326, 489, 815, 978, 1141, 1630, 2282, 2445, 3423, 4890, 5705, 6846, 11410, 17115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34213 and 34230. The biggest common factor number is the GCF number.
So the greatest common factor 34213 and 34230 is 1.

Also check out the Least Common Multiple of 34213 and 34230