What is the Greatest Common Factor of 18849 and 18861?

Greatest common factor (GCF) of 18849 and 18861 is 3.

GCF(18849,18861) = 3

We will now calculate the prime factors of 18849 and 18861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18861.

How to find the GCF of 18849 and 18861?

We will first find the prime factorization of 18849 and 18861. After we will calculate the factors of 18849 and 18861 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18861

Prime factors of 18861 are 3, 6287. Prime factorization of 18861 in exponential form is:

18861 = 3¹ × 6287¹

Step-3: Factors of 18849

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

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

Step-4: Factors of 18861

List of positive integer factors of 18861 that divides 18849 without a remainder.

1, 3, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18849 and 18861. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18861 is 3.

Also check out the Least Common Multiple of 18849 and 18861