What is the Greatest Common Factor of 34223 and 34230?

Greatest common factor (GCF) of 34223 and 34230 is 7.

GCF(34223,34230) = 7

We will now calculate the prime factors of 34223 and 34230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34223 and 34230.

How to find the GCF of 34223 and 34230?

We will first find the prime factorization of 34223 and 34230. After we will calculate the factors of 34223 and 34230 and find the biggest common factor number .

Step-1: Prime Factorization of 34223

Prime factors of 34223 are 7, 4889. Prime factorization of 34223 in exponential form is:

34223 = 7¹ × 4889¹

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 34223

List of positive integer factors of 34223 that divides 34223 without a remainder.

1, 7, 4889

Step-4: Factors of 34230

List of positive integer factors of 34230 that divides 34223 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 34223 and 34230. The biggest common factor number is the GCF number.
So the greatest common factor 34223 and 34230 is 7.

Also check out the Least Common Multiple of 34223 and 34230