What is the Greatest Common Factor of 23744 and 23763?

Greatest common factor (GCF) of 23744 and 23763 is 1.

GCF(23744,23763) = 1

We will now calculate the prime factors of 23744 and 23763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23744 and 23763.

How to find the GCF of 23744 and 23763?

We will first find the prime factorization of 23744 and 23763. After we will calculate the factors of 23744 and 23763 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 23763

Prime factors of 23763 are 3, 89. Prime factorization of 23763 in exponential form is:

23763 = 3¹ × 89²

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 23763

List of positive integer factors of 23763 that divides 23744 without a remainder.

1, 3, 89, 267, 7921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23744 and 23763. The biggest common factor number is the GCF number.
So the greatest common factor 23744 and 23763 is 1.

Also check out the Least Common Multiple of 23744 and 23763