What is the Greatest Common Factor of 23421 and 23436?

Greatest common factor (GCF) of 23421 and 23436 is 3.

GCF(23421,23436) = 3

We will now calculate the prime factors of 23421 and 23436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23421 and 23436.

How to find the GCF of 23421 and 23436?

We will first find the prime factorization of 23421 and 23436. After we will calculate the factors of 23421 and 23436 and find the biggest common factor number .

Step-1: Prime Factorization of 23421

Prime factors of 23421 are 3, 37, 211. Prime factorization of 23421 in exponential form is:

23421 = 3¹ × 37¹ × 211¹

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 23421

List of positive integer factors of 23421 that divides 23421 without a remainder.

1, 3, 37, 111, 211, 633, 7807

Step-4: Factors of 23436

List of positive integer factors of 23436 that divides 23421 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 23421 and 23436. The biggest common factor number is the GCF number.
So the greatest common factor 23421 and 23436 is 3.

Also check out the Least Common Multiple of 23421 and 23436