What is the Greatest Common Factor of 23424 and 23440?

Greatest common factor (GCF) of 23424 and 23440 is 16.

GCF(23424,23440) = 16

We will now calculate the prime factors of 23424 and 23440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23424 and 23440.

How to find the GCF of 23424 and 23440?

We will first find the prime factorization of 23424 and 23440. After we will calculate the factors of 23424 and 23440 and find the biggest common factor number .

Step-1: Prime Factorization of 23424

Prime factors of 23424 are 2, 3, 61. Prime factorization of 23424 in exponential form is:

23424 = 2⁷ × 3¹ × 61¹

Step-2: Prime Factorization of 23440

Prime factors of 23440 are 2, 5, 293. Prime factorization of 23440 in exponential form is:

23440 = 2⁴ × 5¹ × 293¹

Step-3: Factors of 23424

List of positive integer factors of 23424 that divides 23424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 366, 384, 488, 732, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712

Step-4: Factors of 23440

List of positive integer factors of 23440 that divides 23424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 11720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23424 and 23440. The biggest common factor number is the GCF number.
So the greatest common factor 23424 and 23440 is 16.

Also check out the Least Common Multiple of 23424 and 23440