What is the Greatest Common Factor of 18250 and 18270?

Greatest common factor (GCF) of 18250 and 18270 is 10.

GCF(18250,18270) = 10

We will now calculate the prime factors of 18250 and 18270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18250 and 18270.

How to find the GCF of 18250 and 18270?

We will first find the prime factorization of 18250 and 18270. After we will calculate the factors of 18250 and 18270 and find the biggest common factor number .

Step-1: Prime Factorization of 18250

Prime factors of 18250 are 2, 5, 73. Prime factorization of 18250 in exponential form is:

18250 = 2¹ × 5³ × 73¹

Step-2: Prime Factorization of 18270

Prime factors of 18270 are 2, 3, 5, 7, 29. Prime factorization of 18270 in exponential form is:

18270 = 2¹ × 3² × 5¹ × 7¹ × 29¹

Step-3: Factors of 18250

List of positive integer factors of 18250 that divides 18250 without a remainder.

1, 2, 5, 10, 25, 50, 73, 125, 146, 250, 365, 730, 1825, 3650, 9125

Step-4: Factors of 18270

List of positive integer factors of 18270 that divides 18250 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 29, 30, 35, 42, 45, 58, 63, 70, 87, 90, 105, 126, 145, 174, 203, 210, 261, 290, 315, 406, 435, 522, 609, 630, 870, 1015, 1218, 1305, 1827, 2030, 2610, 3045, 3654, 6090, 9135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18250 and 18270. The biggest common factor number is the GCF number.
So the greatest common factor 18250 and 18270 is 10.

Also check out the Least Common Multiple of 18250 and 18270