What is the Greatest Common Factor of 18872 and 18892?

Greatest common factor (GCF) of 18872 and 18892 is 4.

GCF(18872,18892) = 4

We will now calculate the prime factors of 18872 and 18892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18872 and 18892.

How to find the GCF of 18872 and 18892?

We will first find the prime factorization of 18872 and 18892. After we will calculate the factors of 18872 and 18892 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 18892

Prime factors of 18892 are 2, 4723. Prime factorization of 18892 in exponential form is:

18892 = 2² × 4723¹

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 18892

List of positive integer factors of 18892 that divides 18872 without a remainder.

1, 2, 4, 4723, 9446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18872 and 18892. The biggest common factor number is the GCF number.
So the greatest common factor 18872 and 18892 is 4.

Also check out the Least Common Multiple of 18872 and 18892