What is the Greatest Common Factor of 18072 and 18077?

Greatest common factor (GCF) of 18072 and 18077 is 1.

GCF(18072,18077) = 1

We will now calculate the prime factors of 18072 and 18077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18072 and 18077.

How to find the GCF of 18072 and 18077?

We will first find the prime factorization of 18072 and 18077. After we will calculate the factors of 18072 and 18077 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 18077

Prime factors of 18077 are 18077. Prime factorization of 18077 in exponential form is:

18077 = 18077¹

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 18077

List of positive integer factors of 18077 that divides 18072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18072 and 18077. The biggest common factor number is the GCF number.
So the greatest common factor 18072 and 18077 is 1.

Also check out the Least Common Multiple of 18072 and 18077