What is the Greatest Common Factor of 23436 and 23456?

Greatest common factor (GCF) of 23436 and 23456 is 4.

GCF(23436,23456) = 4

We will now calculate the prime factors of 23436 and 23456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23436 and 23456.

How to find the GCF of 23436 and 23456?

We will first find the prime factorization of 23436 and 23456. After we will calculate the factors of 23436 and 23456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23456

Prime factors of 23456 are 2, 733. Prime factorization of 23456 in exponential form is:

23456 = 2⁵ × 733¹

Step-3: Factors of 23436

List of positive integer factors of 23436 that divides 23436 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

Step-4: Factors of 23456

List of positive integer factors of 23456 that divides 23436 without a remainder.

1, 2, 4, 8, 16, 32, 733, 1466, 2932, 5864, 11728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23436 and 23456. The biggest common factor number is the GCF number.
So the greatest common factor 23436 and 23456 is 4.

Also check out the Least Common Multiple of 23436 and 23456