What is the Greatest Common Factor of 23376 and 23388?

Greatest common factor (GCF) of 23376 and 23388 is 12.

GCF(23376,23388) = 12

We will now calculate the prime factors of 23376 and 23388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23376 and 23388.

How to find the GCF of 23376 and 23388?

We will first find the prime factorization of 23376 and 23388. After we will calculate the factors of 23376 and 23388 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 23388

Prime factors of 23388 are 2, 3, 1949. Prime factorization of 23388 in exponential form is:

23388 = 2² × 3¹ × 1949¹

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 23388

List of positive integer factors of 23388 that divides 23376 without a remainder.

1, 2, 3, 4, 6, 12, 1949, 3898, 5847, 7796, 11694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23376 and 23388. The biggest common factor number is the GCF number.
So the greatest common factor 23376 and 23388 is 12.

Also check out the Least Common Multiple of 23376 and 23388