What is the Greatest Common Factor of 18100 and 18106?

Greatest common factor (GCF) of 18100 and 18106 is 2.

GCF(18100,18106) = 2

We will now calculate the prime factors of 18100 and 18106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18100 and 18106.

How to find the GCF of 18100 and 18106?

We will first find the prime factorization of 18100 and 18106. After we will calculate the factors of 18100 and 18106 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 18106

Prime factors of 18106 are 2, 11, 823. Prime factorization of 18106 in exponential form is:

18106 = 2¹ × 11¹ × 823¹

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 18106

List of positive integer factors of 18106 that divides 18100 without a remainder.

1, 2, 11, 22, 823, 1646, 9053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18100 and 18106. The biggest common factor number is the GCF number.
So the greatest common factor 18100 and 18106 is 2.

Also check out the Least Common Multiple of 18100 and 18106