What is the Greatest Common Factor of 18252 and 18264?

Greatest common factor (GCF) of 18252 and 18264 is 12.

GCF(18252,18264) = 12

We will now calculate the prime factors of 18252 and 18264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18252 and 18264.

How to find the GCF of 18252 and 18264?

We will first find the prime factorization of 18252 and 18264. After we will calculate the factors of 18252 and 18264 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 18264

Prime factors of 18264 are 2, 3, 761. Prime factorization of 18264 in exponential form is:

18264 = 2³ × 3¹ × 761¹

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 18264

List of positive integer factors of 18264 that divides 18252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 761, 1522, 2283, 3044, 4566, 6088, 9132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18252 and 18264. The biggest common factor number is the GCF number.
So the greatest common factor 18252 and 18264 is 12.

Also check out the Least Common Multiple of 18252 and 18264