What is the Greatest Common Factor of 18865 and 18872?

Greatest common factor (GCF) of 18865 and 18872 is 7.

GCF(18865,18872) = 7

We will now calculate the prime factors of 18865 and 18872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18865 and 18872.

How to find the GCF of 18865 and 18872?

We will first find the prime factorization of 18865 and 18872. After we will calculate the factors of 18865 and 18872 and find the biggest common factor number .

Step-1: Prime Factorization of 18865

Prime factors of 18865 are 5, 7, 11. Prime factorization of 18865 in exponential form is:

18865 = 5¹ × 7³ × 11¹

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 18865

List of positive integer factors of 18865 that divides 18865 without a remainder.

1, 5, 7, 11, 35, 49, 55, 77, 245, 343, 385, 539, 1715, 2695, 3773

Step-4: Factors of 18872

List of positive integer factors of 18872 that divides 18865 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 18865 and 18872. The biggest common factor number is the GCF number.
So the greatest common factor 18865 and 18872 is 7.

Also check out the Least Common Multiple of 18865 and 18872