What is the Greatest Common Factor of 23436 and 23454?

Greatest common factor (GCF) of 23436 and 23454 is 18.

GCF(23436,23454) = 18

We will now calculate the prime factors of 23436 and 23454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23436 and 23454.

How to find the GCF of 23436 and 23454?

We will first find the prime factorization of 23436 and 23454. After we will calculate the factors of 23436 and 23454 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 23454

Prime factors of 23454 are 2, 3, 1303. Prime factorization of 23454 in exponential form is:

23454 = 2¹ × 3² × 1303¹

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 23454

List of positive integer factors of 23454 that divides 23436 without a remainder.

1, 2, 3, 6, 9, 18, 1303, 2606, 3909, 7818, 11727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23436 and 23454. The biggest common factor number is the GCF number.
So the greatest common factor 23436 and 23454 is 18.

Also check out the Least Common Multiple of 23436 and 23454