What is the Greatest Common Factor of 18403 and 18414?

Greatest common factor (GCF) of 18403 and 18414 is 11.

GCF(18403,18414) = 11

We will now calculate the prime factors of 18403 and 18414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18403 and 18414.

How to find the GCF of 18403 and 18414?

We will first find the prime factorization of 18403 and 18414. After we will calculate the factors of 18403 and 18414 and find the biggest common factor number .

Step-1: Prime Factorization of 18403

Prime factors of 18403 are 7, 11, 239. Prime factorization of 18403 in exponential form is:

18403 = 7¹ × 11¹ × 239¹

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 18403

List of positive integer factors of 18403 that divides 18403 without a remainder.

1, 7, 11, 77, 239, 1673, 2629

Step-4: Factors of 18414

List of positive integer factors of 18414 that divides 18403 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 18403 and 18414. The biggest common factor number is the GCF number.
So the greatest common factor 18403 and 18414 is 11.

Also check out the Least Common Multiple of 18403 and 18414