What is the Greatest Common Factor of 18406 and 18414?

Greatest common factor (GCF) of 18406 and 18414 is 2.

GCF(18406,18414) = 2

We will now calculate the prime factors of 18406 and 18414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18406 and 18414.

How to find the GCF of 18406 and 18414?

We will first find the prime factorization of 18406 and 18414. After we will calculate the factors of 18406 and 18414 and find the biggest common factor number .

Step-1: Prime Factorization of 18406

Prime factors of 18406 are 2, 9203. Prime factorization of 18406 in exponential form is:

18406 = 2¹ × 9203¹

Step-2: 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-3: Factors of 18406

List of positive integer factors of 18406 that divides 18406 without a remainder.

1, 2, 9203

Step-4: Factors of 18414

List of positive integer factors of 18414 that divides 18406 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18406 and 18414. The biggest common factor number is the GCF number.
So the greatest common factor 18406 and 18414 is 2.

Also check out the Least Common Multiple of 18406 and 18414