What is the Greatest Common Factor of 18414 and 18433?

Greatest common factor (GCF) of 18414 and 18433 is 1.

GCF(18414,18433) = 1

We will now calculate the prime factors of 18414 and 18433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18414 and 18433.

How to find the GCF of 18414 and 18433?

We will first find the prime factorization of 18414 and 18433. After we will calculate the factors of 18414 and 18433 and find the biggest common factor number .

Step-1: Prime Factorization of 18414

Prime factors of 18414 are 2, 3, 11, 31. Prime factorization of 18414 in exponential form is:

18414 = 2¹ × 3³ × 11¹ × 31¹

Step-2: Prime Factorization of 18433

Prime factors of 18433 are 18433. Prime factorization of 18433 in exponential form is:

18433 = 18433¹

Step-3: Factors of 18414

List of positive integer factors of 18414 that divides 18414 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 93, 99, 186, 198, 279, 297, 341, 558, 594, 682, 837, 1023, 1674, 2046, 3069, 6138, 9207

Step-4: Factors of 18433

List of positive integer factors of 18433 that divides 18414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18414 and 18433. The biggest common factor number is the GCF number.
So the greatest common factor 18414 and 18433 is 1.

Also check out the Least Common Multiple of 18414 and 18433