What is the Greatest Common Factor of 38250 and 38268?

Greatest common factor (GCF) of 38250 and 38268 is 18.

GCF(38250,38268) = 18

We will now calculate the prime factors of 38250 and 38268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38250 and 38268.

How to find the GCF of 38250 and 38268?

We will first find the prime factorization of 38250 and 38268. After we will calculate the factors of 38250 and 38268 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38268

Prime factors of 38268 are 2, 3, 1063. Prime factorization of 38268 in exponential form is:

38268 = 2² × 3² × 1063¹

Step-3: Factors of 38250

List of positive integer factors of 38250 that divides 38250 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

Step-4: Factors of 38268

List of positive integer factors of 38268 that divides 38250 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1063, 2126, 3189, 4252, 6378, 9567, 12756, 19134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38250 and 38268. The biggest common factor number is the GCF number.
So the greatest common factor 38250 and 38268 is 18.

Also check out the Least Common Multiple of 38250 and 38268