What is the Greatest Common Factor of 18100 and 18120?

Greatest common factor (GCF) of 18100 and 18120 is 20.

GCF(18100,18120) = 20

We will now calculate the prime factors of 18100 and 18120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18100 and 18120.

How to find the GCF of 18100 and 18120?

We will first find the prime factorization of 18100 and 18120. After we will calculate the factors of 18100 and 18120 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18120

Prime factors of 18120 are 2, 3, 5, 151. Prime factorization of 18120 in exponential form is:

18120 = 2³ × 3¹ × 5¹ × 151¹

Step-3: Factors of 18100

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

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

Step-4: Factors of 18120

List of positive integer factors of 18120 that divides 18100 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 151, 302, 453, 604, 755, 906, 1208, 1510, 1812, 2265, 3020, 3624, 4530, 6040, 9060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18100 and 18120. The biggest common factor number is the GCF number.
So the greatest common factor 18100 and 18120 is 20.

Also check out the Least Common Multiple of 18100 and 18120