What is the Greatest Common Factor of 23424 and 23436?

Greatest common factor (GCF) of 23424 and 23436 is 12.

GCF(23424,23436) = 12

We will now calculate the prime factors of 23424 and 23436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23424 and 23436.

How to find the GCF of 23424 and 23436?

We will first find the prime factorization of 23424 and 23436. After we will calculate the factors of 23424 and 23436 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 23436

Prime factors of 23436 are 2, 3, 7, 31. Prime factorization of 23436 in exponential form is:

23436 = 2² × 3³ × 7¹ × 31¹

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 23436

List of positive integer factors of 23436 that divides 23424 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 31, 36, 42, 54, 62, 63, 84, 93, 108, 124, 126, 186, 189, 217, 252, 279, 372, 378, 434, 558, 651, 756, 837, 868, 1116, 1302, 1674, 1953, 2604, 3348, 3906, 5859, 7812, 11718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23424 and 23436. The biggest common factor number is the GCF number.
So the greatest common factor 23424 and 23436 is 12.

Also check out the Least Common Multiple of 23424 and 23436