What is the Greatest Common Factor of 23484 and 23488?

Greatest common factor (GCF) of 23484 and 23488 is 4.

GCF(23484,23488) = 4

We will now calculate the prime factors of 23484 and 23488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23484 and 23488.

How to find the GCF of 23484 and 23488?

We will first find the prime factorization of 23484 and 23488. After we will calculate the factors of 23484 and 23488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23488

Prime factors of 23488 are 2, 367. Prime factorization of 23488 in exponential form is:

23488 = 2⁶ × 367¹

Step-3: Factors of 23484

List of positive integer factors of 23484 that divides 23484 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

Step-4: Factors of 23488

List of positive integer factors of 23488 that divides 23484 without a remainder.

1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23484 and 23488. The biggest common factor number is the GCF number.
So the greatest common factor 23484 and 23488 is 4.

Also check out the Least Common Multiple of 23484 and 23488