What is the Greatest Common Factor of 18062 and 18072?

Greatest common factor (GCF) of 18062 and 18072 is 2.

GCF(18062,18072) = 2

We will now calculate the prime factors of 18062 and 18072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18062 and 18072.

How to find the GCF of 18062 and 18072?

We will first find the prime factorization of 18062 and 18072. After we will calculate the factors of 18062 and 18072 and find the biggest common factor number .

Step-1: Prime Factorization of 18062

Prime factors of 18062 are 2, 11, 821. Prime factorization of 18062 in exponential form is:

18062 = 2¹ × 11¹ × 821¹

Step-2: 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-3: Factors of 18062

List of positive integer factors of 18062 that divides 18062 without a remainder.

1, 2, 11, 22, 821, 1642, 9031

Step-4: Factors of 18072

List of positive integer factors of 18072 that divides 18062 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18062 and 18072. The biggest common factor number is the GCF number.
So the greatest common factor 18062 and 18072 is 2.

Also check out the Least Common Multiple of 18062 and 18072