What is the Greatest Common Factor of 38240 and 38250?

Greatest common factor (GCF) of 38240 and 38250 is 10.

GCF(38240,38250) = 10

We will now calculate the prime factors of 38240 and 38250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38240 and 38250.

How to find the GCF of 38240 and 38250?

We will first find the prime factorization of 38240 and 38250. After we will calculate the factors of 38240 and 38250 and find the biggest common factor number .

Step-1: Prime Factorization of 38240

Prime factors of 38240 are 2, 5, 239. Prime factorization of 38240 in exponential form is:

38240 = 2⁵ × 5¹ × 239¹

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 38240

List of positive integer factors of 38240 that divides 38240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 19120

Step-4: Factors of 38250

List of positive integer factors of 38250 that divides 38240 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 38240 and 38250. The biggest common factor number is the GCF number.
So the greatest common factor 38240 and 38250 is 10.

Also check out the Least Common Multiple of 38240 and 38250