What is the Greatest Common Factor of 18072 and 18087?

Greatest common factor (GCF) of 18072 and 18087 is 3.

GCF(18072,18087) = 3

We will now calculate the prime factors of 18072 and 18087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18072 and 18087.

How to find the GCF of 18072 and 18087?

We will first find the prime factorization of 18072 and 18087. After we will calculate the factors of 18072 and 18087 and find the biggest common factor number .

Step-1: Prime Factorization of 18072

Prime factors of 18072 are 2, 3, 251. Prime factorization of 18072 in exponential form is:

18072 = 2³ × 3² × 251¹

Step-2: Prime Factorization of 18087

Prime factors of 18087 are 3, 6029. Prime factorization of 18087 in exponential form is:

18087 = 3¹ × 6029¹

Step-3: Factors of 18072

List of positive integer factors of 18072 that divides 18072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4518, 6024, 9036

Step-4: Factors of 18087

List of positive integer factors of 18087 that divides 18072 without a remainder.

1, 3, 6029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18072 and 18087. The biggest common factor number is the GCF number.
So the greatest common factor 18072 and 18087 is 3.

Also check out the Least Common Multiple of 18072 and 18087