What is the Greatest Common Factor of 18234 and 18251?

Greatest common factor (GCF) of 18234 and 18251 is 1.

GCF(18234,18251) = 1

We will now calculate the prime factors of 18234 and 18251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18234 and 18251.

How to find the GCF of 18234 and 18251?

We will first find the prime factorization of 18234 and 18251. After we will calculate the factors of 18234 and 18251 and find the biggest common factor number .

Step-1: Prime Factorization of 18234

Prime factors of 18234 are 2, 3, 1013. Prime factorization of 18234 in exponential form is:

18234 = 2¹ × 3² × 1013¹

Step-2: Prime Factorization of 18251

Prime factors of 18251 are 18251. Prime factorization of 18251 in exponential form is:

18251 = 18251¹

Step-3: Factors of 18234

List of positive integer factors of 18234 that divides 18234 without a remainder.

1, 2, 3, 6, 9, 18, 1013, 2026, 3039, 6078, 9117

Step-4: Factors of 18251

List of positive integer factors of 18251 that divides 18234 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18234 and 18251. The biggest common factor number is the GCF number.
So the greatest common factor 18234 and 18251 is 1.

Also check out the Least Common Multiple of 18234 and 18251