What is the Greatest Common Factor of 23744 and 23755?

Greatest common factor (GCF) of 23744 and 23755 is 1.

GCF(23744,23755) = 1

We will now calculate the prime factors of 23744 and 23755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23744 and 23755.

How to find the GCF of 23744 and 23755?

We will first find the prime factorization of 23744 and 23755. After we will calculate the factors of 23744 and 23755 and find the biggest common factor number .

Step-1: Prime Factorization of 23744

Prime factors of 23744 are 2, 7, 53. Prime factorization of 23744 in exponential form is:

23744 = 2⁶ × 7¹ × 53¹

Step-2: Prime Factorization of 23755

Prime factors of 23755 are 5, 4751. Prime factorization of 23755 in exponential form is:

23755 = 5¹ × 4751¹

Step-3: Factors of 23744

List of positive integer factors of 23744 that divides 23744 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 212, 224, 371, 424, 448, 742, 848, 1484, 1696, 2968, 3392, 5936, 11872

Step-4: Factors of 23755

List of positive integer factors of 23755 that divides 23744 without a remainder.

1, 5, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23744 and 23755. The biggest common factor number is the GCF number.
So the greatest common factor 23744 and 23755 is 1.

Also check out the Least Common Multiple of 23744 and 23755