What is the Greatest Common Factor of 18116 and 18121?

Greatest common factor (GCF) of 18116 and 18121 is 1.

GCF(18116,18121) = 1

We will now calculate the prime factors of 18116 and 18121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18116 and 18121.

How to find the GCF of 18116 and 18121?

We will first find the prime factorization of 18116 and 18121. After we will calculate the factors of 18116 and 18121 and find the biggest common factor number .

Step-1: Prime Factorization of 18116

Prime factors of 18116 are 2, 7, 647. Prime factorization of 18116 in exponential form is:

18116 = 2² × 7¹ × 647¹

Step-2: Prime Factorization of 18121

Prime factors of 18121 are 18121. Prime factorization of 18121 in exponential form is:

18121 = 18121¹

Step-3: Factors of 18116

List of positive integer factors of 18116 that divides 18116 without a remainder.

1, 2, 4, 7, 14, 28, 647, 1294, 2588, 4529, 9058

Step-4: Factors of 18121

List of positive integer factors of 18121 that divides 18116 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18116 and 18121. The biggest common factor number is the GCF number.
So the greatest common factor 18116 and 18121 is 1.

Also check out the Least Common Multiple of 18116 and 18121