What is the Greatest Common Factor of 18837 and 18849?

Greatest common factor (GCF) of 18837 and 18849 is 3.

GCF(18837,18849) = 3

We will now calculate the prime factors of 18837 and 18849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18837 and 18849.

How to find the GCF of 18837 and 18849?

We will first find the prime factorization of 18837 and 18849. After we will calculate the factors of 18837 and 18849 and find the biggest common factor number .

Step-1: Prime Factorization of 18837

Prime factors of 18837 are 3, 7, 13, 23. Prime factorization of 18837 in exponential form is:

18837 = 3² × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 18849

Prime factors of 18849 are 3, 61, 103. Prime factorization of 18849 in exponential form is:

18849 = 3¹ × 61¹ × 103¹

Step-3: Factors of 18837

List of positive integer factors of 18837 that divides 18837 without a remainder.

1, 3, 7, 9, 13, 21, 23, 39, 63, 69, 91, 117, 161, 207, 273, 299, 483, 819, 897, 1449, 2093, 2691, 6279

Step-4: Factors of 18849

List of positive integer factors of 18849 that divides 18837 without a remainder.

1, 3, 61, 103, 183, 309, 6283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18837 and 18849. The biggest common factor number is the GCF number.
So the greatest common factor 18837 and 18849 is 3.

Also check out the Least Common Multiple of 18837 and 18849