What is the Greatest Common Factor of 18084 and 18100?

Greatest common factor (GCF) of 18084 and 18100 is 4.

GCF(18084,18100) = 4

We will now calculate the prime factors of 18084 and 18100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18084 and 18100.

How to find the GCF of 18084 and 18100?

We will first find the prime factorization of 18084 and 18100. After we will calculate the factors of 18084 and 18100 and find the biggest common factor number .

Step-1: Prime Factorization of 18084

Prime factors of 18084 are 2, 3, 11, 137. Prime factorization of 18084 in exponential form is:

18084 = 2² × 3¹ × 11¹ × 137¹

Step-2: Prime Factorization of 18100

Prime factors of 18100 are 2, 5, 181. Prime factorization of 18100 in exponential form is:

18100 = 2² × 5² × 181¹

Step-3: Factors of 18084

List of positive integer factors of 18084 that divides 18084 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 137, 274, 411, 548, 822, 1507, 1644, 3014, 4521, 6028, 9042

Step-4: Factors of 18100

List of positive integer factors of 18100 that divides 18084 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 181, 362, 724, 905, 1810, 3620, 4525, 9050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18084 and 18100. The biggest common factor number is the GCF number.
So the greatest common factor 18084 and 18100 is 4.

Also check out the Least Common Multiple of 18084 and 18100