What is the Greatest Common Factor of 18214 and 18223?

Greatest common factor (GCF) of 18214 and 18223 is 1.

GCF(18214,18223) = 1

We will now calculate the prime factors of 18214 and 18223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18214 and 18223.

How to find the GCF of 18214 and 18223?

We will first find the prime factorization of 18214 and 18223. After we will calculate the factors of 18214 and 18223 and find the biggest common factor number .

Step-1: Prime Factorization of 18214

Prime factors of 18214 are 2, 7, 1301. Prime factorization of 18214 in exponential form is:

18214 = 2¹ × 7¹ × 1301¹

Step-2: Prime Factorization of 18223

Prime factors of 18223 are 18223. Prime factorization of 18223 in exponential form is:

18223 = 18223¹

Step-3: Factors of 18214

List of positive integer factors of 18214 that divides 18214 without a remainder.

1, 2, 7, 14, 1301, 2602, 9107

Step-4: Factors of 18223

List of positive integer factors of 18223 that divides 18214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18214 and 18223. The biggest common factor number is the GCF number.
So the greatest common factor 18214 and 18223 is 1.

Also check out the Least Common Multiple of 18214 and 18223