What is the Greatest Common Factor of 23376 and 23394?

Greatest common factor (GCF) of 23376 and 23394 is 6.

GCF(23376,23394) = 6

We will now calculate the prime factors of 23376 and 23394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23376 and 23394.

How to find the GCF of 23376 and 23394?

We will first find the prime factorization of 23376 and 23394. After we will calculate the factors of 23376 and 23394 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 23394

Prime factors of 23394 are 2, 3, 7, 557. Prime factorization of 23394 in exponential form is:

23394 = 2¹ × 3¹ × 7¹ × 557¹

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 23394

List of positive integer factors of 23394 that divides 23376 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 557, 1114, 1671, 3342, 3899, 7798, 11697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23376 and 23394. The biggest common factor number is the GCF number.
So the greatest common factor 23376 and 23394 is 6.

Also check out the Least Common Multiple of 23376 and 23394