What is the Greatest Common Factor of 18849 and 18859?

Greatest common factor (GCF) of 18849 and 18859 is 1.

GCF(18849,18859) = 1

We will now calculate the prime factors of 18849 and 18859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18859.

How to find the GCF of 18849 and 18859?

We will first find the prime factorization of 18849 and 18859. After we will calculate the factors of 18849 and 18859 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 18859

Prime factors of 18859 are 18859. Prime factorization of 18859 in exponential form is:

18859 = 18859¹

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 18859

List of positive integer factors of 18859 that divides 18849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18849 and 18859. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18859 is 1.

Also check out the Least Common Multiple of 18849 and 18859