What is the Greatest Common Factor of 18252 and 18270?

Greatest common factor (GCF) of 18252 and 18270 is 18.

GCF(18252,18270) = 18

We will now calculate the prime factors of 18252 and 18270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18252 and 18270.

How to find the GCF of 18252 and 18270?

We will first find the prime factorization of 18252 and 18270. After we will calculate the factors of 18252 and 18270 and find the biggest common factor number .

Step-1: Prime Factorization of 18252

Prime factors of 18252 are 2, 3, 13. Prime factorization of 18252 in exponential form is:

18252 = 2² × 3³ × 13²

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 18252

List of positive integer factors of 18252 that divides 18252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 169, 234, 338, 351, 468, 507, 676, 702, 1014, 1404, 1521, 2028, 3042, 4563, 6084, 9126

Step-4: Factors of 18270

List of positive integer factors of 18270 that divides 18252 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 18252 and 18270. The biggest common factor number is the GCF number.
So the greatest common factor 18252 and 18270 is 18.

Also check out the Least Common Multiple of 18252 and 18270