What is the Greatest Common Factor of 38235 and 38250?

Greatest common factor (GCF) of 38235 and 38250 is 15.

GCF(38235,38250) = 15

We will now calculate the prime factors of 38235 and 38250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38235 and 38250.

How to find the GCF of 38235 and 38250?

We will first find the prime factorization of 38235 and 38250. After we will calculate the factors of 38235 and 38250 and find the biggest common factor number .

Step-1: Prime Factorization of 38235

Prime factors of 38235 are 3, 5, 2549. Prime factorization of 38235 in exponential form is:

38235 = 3¹ × 5¹ × 2549¹

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 38235

List of positive integer factors of 38235 that divides 38235 without a remainder.

1, 3, 5, 15, 2549, 7647, 12745

Step-4: Factors of 38250

List of positive integer factors of 38250 that divides 38235 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 38235 and 38250. The biggest common factor number is the GCF number.
So the greatest common factor 38235 and 38250 is 15.

Also check out the Least Common Multiple of 38235 and 38250