What is the Greatest Common Factor of 18249 and 18263?

Greatest common factor (GCF) of 18249 and 18263 is 7.

GCF(18249,18263) = 7

We will now calculate the prime factors of 18249 and 18263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18249 and 18263.

How to find the GCF of 18249 and 18263?

We will first find the prime factorization of 18249 and 18263. After we will calculate the factors of 18249 and 18263 and find the biggest common factor number .

Step-1: Prime Factorization of 18249

Prime factors of 18249 are 3, 7, 11, 79. Prime factorization of 18249 in exponential form is:

18249 = 3¹ × 7¹ × 11¹ × 79¹

Step-2: Prime Factorization of 18263

Prime factors of 18263 are 7, 2609. Prime factorization of 18263 in exponential form is:

18263 = 7¹ × 2609¹

Step-3: Factors of 18249

List of positive integer factors of 18249 that divides 18249 without a remainder.

1, 3, 7, 11, 21, 33, 77, 79, 231, 237, 553, 869, 1659, 2607, 6083

Step-4: Factors of 18263

List of positive integer factors of 18263 that divides 18249 without a remainder.

1, 7, 2609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18249 and 18263. The biggest common factor number is the GCF number.
So the greatest common factor 18249 and 18263 is 7.

Also check out the Least Common Multiple of 18249 and 18263