What is the Greatest Common Factor of 18849 and 18857?

Greatest common factor (GCF) of 18849 and 18857 is 1.

GCF(18849,18857) = 1

We will now calculate the prime factors of 18849 and 18857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18857.

How to find the GCF of 18849 and 18857?

We will first find the prime factorization of 18849 and 18857. After we will calculate the factors of 18849 and 18857 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 18857

Prime factors of 18857 are 109, 173. Prime factorization of 18857 in exponential form is:

18857 = 109¹ × 173¹

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 18857

List of positive integer factors of 18857 that divides 18849 without a remainder.

1, 109, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18849 and 18857. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18857 is 1.

Also check out the Least Common Multiple of 18849 and 18857