What is the Greatest Common Factor of 18853 and 18872?

Greatest common factor (GCF) of 18853 and 18872 is 1.

GCF(18853,18872) = 1

We will now calculate the prime factors of 18853 and 18872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18853 and 18872.

How to find the GCF of 18853 and 18872?

We will first find the prime factorization of 18853 and 18872. After we will calculate the factors of 18853 and 18872 and find the biggest common factor number .

Step-1: Prime Factorization of 18853

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

18853 = 17¹ × 1109¹

Step-2: Prime Factorization of 18872

Prime factors of 18872 are 2, 7, 337. Prime factorization of 18872 in exponential form is:

18872 = 2³ × 7¹ × 337¹

Step-3: Factors of 18853

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

1, 17, 1109

Step-4: Factors of 18872

List of positive integer factors of 18872 that divides 18853 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 337, 674, 1348, 2359, 2696, 4718, 9436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18853 and 18872. The biggest common factor number is the GCF number.
So the greatest common factor 18853 and 18872 is 1.

Also check out the Least Common Multiple of 18853 and 18872