What is the Greatest Common Factor of 23316 and 23336?

Greatest common factor (GCF) of 23316 and 23336 is 4.

GCF(23316,23336) = 4

We will now calculate the prime factors of 23316 and 23336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23316 and 23336.

How to find the GCF of 23316 and 23336?

We will first find the prime factorization of 23316 and 23336. After we will calculate the factors of 23316 and 23336 and find the biggest common factor number .

Step-1: Prime Factorization of 23316

Prime factors of 23316 are 2, 3, 29, 67. Prime factorization of 23316 in exponential form is:

23316 = 2² × 3¹ × 29¹ × 67¹

Step-2: Prime Factorization of 23336

Prime factors of 23336 are 2, 2917. Prime factorization of 23336 in exponential form is:

23336 = 2³ × 2917¹

Step-3: Factors of 23316

List of positive integer factors of 23316 that divides 23316 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 67, 87, 116, 134, 174, 201, 268, 348, 402, 804, 1943, 3886, 5829, 7772, 11658

Step-4: Factors of 23336

List of positive integer factors of 23336 that divides 23316 without a remainder.

1, 2, 4, 8, 2917, 5834, 11668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23316 and 23336. The biggest common factor number is the GCF number.
So the greatest common factor 23316 and 23336 is 4.

Also check out the Least Common Multiple of 23316 and 23336