What is the Greatest Common Factor of 18051 and 18069?

Greatest common factor (GCF) of 18051 and 18069 is 3.

GCF(18051,18069) = 3

We will now calculate the prime factors of 18051 and 18069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18051 and 18069.

How to find the GCF of 18051 and 18069?

We will first find the prime factorization of 18051 and 18069. After we will calculate the factors of 18051 and 18069 and find the biggest common factor number .

Step-1: Prime Factorization of 18051

Prime factors of 18051 are 3, 11, 547. Prime factorization of 18051 in exponential form is:

18051 = 3¹ × 11¹ × 547¹

Step-2: Prime Factorization of 18069

Prime factors of 18069 are 3, 19, 317. Prime factorization of 18069 in exponential form is:

18069 = 3¹ × 19¹ × 317¹

Step-3: Factors of 18051

List of positive integer factors of 18051 that divides 18051 without a remainder.

1, 3, 11, 33, 547, 1641, 6017

Step-4: Factors of 18069

List of positive integer factors of 18069 that divides 18051 without a remainder.

1, 3, 19, 57, 317, 951, 6023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18051 and 18069. The biggest common factor number is the GCF number.
So the greatest common factor 18051 and 18069 is 3.

Also check out the Least Common Multiple of 18051 and 18069