What is the Greatest Common Factor of 23376 and 23381?

Greatest common factor (GCF) of 23376 and 23381 is 1.

GCF(23376,23381) = 1

We will now calculate the prime factors of 23376 and 23381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23376 and 23381.

How to find the GCF of 23376 and 23381?

We will first find the prime factorization of 23376 and 23381. After we will calculate the factors of 23376 and 23381 and find the biggest common factor number .

Step-1: Prime Factorization of 23376

Prime factors of 23376 are 2, 3, 487. Prime factorization of 23376 in exponential form is:

23376 = 2⁴ × 3¹ × 487¹

Step-2: Prime Factorization of 23381

Prime factors of 23381 are 103, 227. Prime factorization of 23381 in exponential form is:

23381 = 103¹ × 227¹

Step-3: Factors of 23376

List of positive integer factors of 23376 that divides 23376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688

Step-4: Factors of 23381

List of positive integer factors of 23381 that divides 23376 without a remainder.

1, 103, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23376 and 23381. The biggest common factor number is the GCF number.
So the greatest common factor 23376 and 23381 is 1.

Also check out the Least Common Multiple of 23376 and 23381