What is the Greatest Common Factor of 18235 and 18249?

Greatest common factor (GCF) of 18235 and 18249 is 7.

GCF(18235,18249) = 7

We will now calculate the prime factors of 18235 and 18249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18235 and 18249.

How to find the GCF of 18235 and 18249?

We will first find the prime factorization of 18235 and 18249. After we will calculate the factors of 18235 and 18249 and find the biggest common factor number .

Step-1: Prime Factorization of 18235

Prime factors of 18235 are 5, 7, 521. Prime factorization of 18235 in exponential form is:

18235 = 5¹ × 7¹ × 521¹

Step-2: 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-3: Factors of 18235

List of positive integer factors of 18235 that divides 18235 without a remainder.

1, 5, 7, 35, 521, 2605, 3647

Step-4: Factors of 18249

List of positive integer factors of 18249 that divides 18235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18235 and 18249. The biggest common factor number is the GCF number.
So the greatest common factor 18235 and 18249 is 7.

Also check out the Least Common Multiple of 18235 and 18249