What is the Greatest Common Factor of 18849 and 18853?

Greatest common factor (GCF) of 18849 and 18853 is 1.

GCF(18849,18853) = 1

We will now calculate the prime factors of 18849 and 18853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18853.

How to find the GCF of 18849 and 18853?

We will first find the prime factorization of 18849 and 18853. After we will calculate the factors of 18849 and 18853 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 18853

Prime factors of 18853 are 17, 1109. Prime factorization of 18853 in exponential form is:

18853 = 17¹ × 1109¹

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 18853

List of positive integer factors of 18853 that divides 18849 without a remainder.

1, 17, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18849 and 18853. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18853 is 1.

Also check out the Least Common Multiple of 18849 and 18853