What is the Greatest Common Factor of 18386 and 18403?

Greatest common factor (GCF) of 18386 and 18403 is 1.

GCF(18386,18403) = 1

We will now calculate the prime factors of 18386 and 18403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18386 and 18403.

How to find the GCF of 18386 and 18403?

We will first find the prime factorization of 18386 and 18403. After we will calculate the factors of 18386 and 18403 and find the biggest common factor number .

Step-1: Prime Factorization of 18386

Prime factors of 18386 are 2, 29, 317. Prime factorization of 18386 in exponential form is:

18386 = 2¹ × 29¹ × 317¹

Step-2: 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-3: Factors of 18386

List of positive integer factors of 18386 that divides 18386 without a remainder.

1, 2, 29, 58, 317, 634, 9193

Step-4: Factors of 18403

List of positive integer factors of 18403 that divides 18386 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18386 and 18403. The biggest common factor number is the GCF number.
So the greatest common factor 18386 and 18403 is 1.

Also check out the Least Common Multiple of 18386 and 18403