What is the Greatest Common Factor of 18858 and 18872?

Greatest common factor (GCF) of 18858 and 18872 is 14.

GCF(18858,18872) = 14

We will now calculate the prime factors of 18858 and 18872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18858 and 18872.

How to find the GCF of 18858 and 18872?

We will first find the prime factorization of 18858 and 18872. After we will calculate the factors of 18858 and 18872 and find the biggest common factor number .

Step-1: Prime Factorization of 18858

Prime factors of 18858 are 2, 3, 7, 449. Prime factorization of 18858 in exponential form is:

18858 = 2¹ × 3¹ × 7¹ × 449¹

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 18858

List of positive integer factors of 18858 that divides 18858 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 449, 898, 1347, 2694, 3143, 6286, 9429

Step-4: Factors of 18872

List of positive integer factors of 18872 that divides 18858 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 18858 and 18872. The biggest common factor number is the GCF number.
So the greatest common factor 18858 and 18872 is 14.

Also check out the Least Common Multiple of 18858 and 18872