What is the Greatest Common Factor of 18872 and 18882?

Greatest common factor (GCF) of 18872 and 18882 is 2.

GCF(18872,18882) = 2

We will now calculate the prime factors of 18872 and 18882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18872 and 18882.

How to find the GCF of 18872 and 18882?

We will first find the prime factorization of 18872 and 18882. After we will calculate the factors of 18872 and 18882 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18882

Prime factors of 18882 are 2, 3, 1049. Prime factorization of 18882 in exponential form is:

18882 = 2¹ × 3² × 1049¹

Step-3: Factors of 18872

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

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

Step-4: Factors of 18882

List of positive integer factors of 18882 that divides 18872 without a remainder.

1, 2, 3, 6, 9, 18, 1049, 2098, 3147, 6294, 9441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18872 and 18882. The biggest common factor number is the GCF number.
So the greatest common factor 18872 and 18882 is 2.

Also check out the Least Common Multiple of 18872 and 18882