What is the Greatest Common Factor of 18421 and 18440?

Greatest common factor (GCF) of 18421 and 18440 is 1.

GCF(18421,18440) = 1

We will now calculate the prime factors of 18421 and 18440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18421 and 18440.

How to find the GCF of 18421 and 18440?

We will first find the prime factorization of 18421 and 18440. After we will calculate the factors of 18421 and 18440 and find the biggest common factor number .

Step-1: Prime Factorization of 18421

Prime factors of 18421 are 13, 109. Prime factorization of 18421 in exponential form is:

18421 = 13² × 109¹

Step-2: Prime Factorization of 18440

Prime factors of 18440 are 2, 5, 461. Prime factorization of 18440 in exponential form is:

18440 = 2³ × 5¹ × 461¹

Step-3: Factors of 18421

List of positive integer factors of 18421 that divides 18421 without a remainder.

1, 13, 109, 169, 1417

Step-4: Factors of 18440

List of positive integer factors of 18440 that divides 18421 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 461, 922, 1844, 2305, 3688, 4610, 9220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18421 and 18440. The biggest common factor number is the GCF number.
So the greatest common factor 18421 and 18440 is 1.

Also check out the Least Common Multiple of 18421 and 18440