What is the Greatest Common Factor of 18252 and 18257?

Greatest common factor (GCF) of 18252 and 18257 is 1.

GCF(18252,18257) = 1

We will now calculate the prime factors of 18252 and 18257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18252 and 18257.

How to find the GCF of 18252 and 18257?

We will first find the prime factorization of 18252 and 18257. After we will calculate the factors of 18252 and 18257 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 18257

Prime factors of 18257 are 18257. Prime factorization of 18257 in exponential form is:

18257 = 18257¹

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 18257

List of positive integer factors of 18257 that divides 18252 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18252 and 18257. The biggest common factor number is the GCF number.
So the greatest common factor 18252 and 18257 is 1.

Also check out the Least Common Multiple of 18252 and 18257