What is the Greatest Common Factor of 23398 and 23403?

Greatest common factor (GCF) of 23398 and 23403 is 1.

GCF(23398,23403) = 1

We will now calculate the prime factors of 23398 and 23403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23398 and 23403.

How to find the GCF of 23398 and 23403?

We will first find the prime factorization of 23398 and 23403. After we will calculate the factors of 23398 and 23403 and find the biggest common factor number .

Step-1: Prime Factorization of 23398

Prime factors of 23398 are 2, 11699. Prime factorization of 23398 in exponential form is:

23398 = 2¹ × 11699¹

Step-2: Prime Factorization of 23403

Prime factors of 23403 are 3, 29, 269. Prime factorization of 23403 in exponential form is:

23403 = 3¹ × 29¹ × 269¹

Step-3: Factors of 23398

List of positive integer factors of 23398 that divides 23398 without a remainder.

1, 2, 11699

Step-4: Factors of 23403

List of positive integer factors of 23403 that divides 23398 without a remainder.

1, 3, 29, 87, 269, 807, 7801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23398 and 23403. The biggest common factor number is the GCF number.
So the greatest common factor 23398 and 23403 is 1.

Also check out the Least Common Multiple of 23398 and 23403