What is the Greatest Common Factor of 23484 and 23503?

Greatest common factor (GCF) of 23484 and 23503 is 19.

GCF(23484,23503) = 19

We will now calculate the prime factors of 23484 and 23503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23484 and 23503.

How to find the GCF of 23484 and 23503?

We will first find the prime factorization of 23484 and 23503. After we will calculate the factors of 23484 and 23503 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 23503

Prime factors of 23503 are 19, 1237. Prime factorization of 23503 in exponential form is:

23503 = 19¹ × 1237¹

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 23503

List of positive integer factors of 23503 that divides 23484 without a remainder.

1, 19, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23484 and 23503. The biggest common factor number is the GCF number.
So the greatest common factor 23484 and 23503 is 19.

Also check out the Least Common Multiple of 23484 and 23503