What is the Greatest Common Factor of 34230 and 34250?

Greatest common factor (GCF) of 34230 and 34250 is 10.

GCF(34230,34250) = 10

We will now calculate the prime factors of 34230 and 34250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34230 and 34250.

How to find the GCF of 34230 and 34250?

We will first find the prime factorization of 34230 and 34250. After we will calculate the factors of 34230 and 34250 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34250

Prime factors of 34250 are 2, 5, 137. Prime factorization of 34250 in exponential form is:

34250 = 2¹ × 5³ × 137¹

Step-3: Factors of 34230

List of positive integer factors of 34230 that divides 34230 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

Step-4: Factors of 34250

List of positive integer factors of 34250 that divides 34230 without a remainder.

1, 2, 5, 10, 25, 50, 125, 137, 250, 274, 685, 1370, 3425, 6850, 17125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34230 and 34250. The biggest common factor number is the GCF number.
So the greatest common factor 34230 and 34250 is 10.

Also check out the Least Common Multiple of 34230 and 34250