What is the Greatest Common Factor of 23484 and 23496?

Greatest common factor (GCF) of 23484 and 23496 is 12.

GCF(23484,23496) = 12

We will now calculate the prime factors of 23484 and 23496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23484 and 23496.

How to find the GCF of 23484 and 23496?

We will first find the prime factorization of 23484 and 23496. After we will calculate the factors of 23484 and 23496 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 23496

Prime factors of 23496 are 2, 3, 11, 89. Prime factorization of 23496 in exponential form is:

23496 = 2³ × 3¹ × 11¹ × 89¹

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 23496

List of positive integer factors of 23496 that divides 23484 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 89, 132, 178, 264, 267, 356, 534, 712, 979, 1068, 1958, 2136, 2937, 3916, 5874, 7832, 11748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23484 and 23496. The biggest common factor number is the GCF number.
So the greatest common factor 23484 and 23496 is 12.

Also check out the Least Common Multiple of 23484 and 23496