What is the Greatest Common Factor of 38233 and 38250?

Greatest common factor (GCF) of 38233 and 38250 is 17.

GCF(38233,38250) = 17

We will now calculate the prime factors of 38233 and 38250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38233 and 38250.

How to find the GCF of 38233 and 38250?

We will first find the prime factorization of 38233 and 38250. After we will calculate the factors of 38233 and 38250 and find the biggest common factor number .

Step-1: Prime Factorization of 38233

Prime factors of 38233 are 13, 17, 173. Prime factorization of 38233 in exponential form is:

38233 = 13¹ × 17¹ × 173¹

Step-2: Prime Factorization of 38250

Prime factors of 38250 are 2, 3, 5, 17. Prime factorization of 38250 in exponential form is:

38250 = 2¹ × 3² × 5³ × 17¹

Step-3: Factors of 38233

List of positive integer factors of 38233 that divides 38233 without a remainder.

1, 13, 17, 173, 221, 2249, 2941

Step-4: Factors of 38250

List of positive integer factors of 38250 that divides 38233 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 125, 150, 153, 170, 225, 250, 255, 306, 375, 425, 450, 510, 750, 765, 850, 1125, 1275, 1530, 2125, 2250, 2550, 3825, 4250, 6375, 7650, 12750, 19125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38233 and 38250. The biggest common factor number is the GCF number.
So the greatest common factor 38233 and 38250 is 17.

Also check out the Least Common Multiple of 38233 and 38250