What is the Greatest Common Factor of 23472 and 23484?

Greatest common factor (GCF) of 23472 and 23484 is 12.

GCF(23472,23484) = 12

We will now calculate the prime factors of 23472 and 23484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23472 and 23484.

How to find the GCF of 23472 and 23484?

We will first find the prime factorization of 23472 and 23484. After we will calculate the factors of 23472 and 23484 and find the biggest common factor number .

Step-1: Prime Factorization of 23472

Prime factors of 23472 are 2, 3, 163. Prime factorization of 23472 in exponential form is:

23472 = 2⁴ × 3² × 163¹

Step-2: Prime Factorization of 23484

Prime factors of 23484 are 2, 3, 19, 103. Prime factorization of 23484 in exponential form is:

23484 = 2² × 3¹ × 19¹ × 103¹

Step-3: Factors of 23472

List of positive integer factors of 23472 that divides 23472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5868, 7824, 11736

Step-4: Factors of 23484

List of positive integer factors of 23484 that divides 23472 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 103, 114, 206, 228, 309, 412, 618, 1236, 1957, 3914, 5871, 7828, 11742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23472 and 23484. The biggest common factor number is the GCF number.
So the greatest common factor 23472 and 23484 is 12.

Also check out the Least Common Multiple of 23472 and 23484