What is the Greatest Common Factor of 18237 and 18252?

Greatest common factor (GCF) of 18237 and 18252 is 3.

GCF(18237,18252) = 3

We will now calculate the prime factors of 18237 and 18252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18237 and 18252.

How to find the GCF of 18237 and 18252?

We will first find the prime factorization of 18237 and 18252. After we will calculate the factors of 18237 and 18252 and find the biggest common factor number .

Step-1: Prime Factorization of 18237

Prime factors of 18237 are 3, 6079. Prime factorization of 18237 in exponential form is:

18237 = 3¹ × 6079¹

Step-2: 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-3: Factors of 18237

List of positive integer factors of 18237 that divides 18237 without a remainder.

1, 3, 6079

Step-4: Factors of 18252

List of positive integer factors of 18252 that divides 18237 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18237 and 18252. The biggest common factor number is the GCF number.
So the greatest common factor 18237 and 18252 is 3.

Also check out the Least Common Multiple of 18237 and 18252