What is the Greatest Common Factor of 23318 and 23332?

Greatest common factor (GCF) of 23318 and 23332 is 2.

GCF(23318,23332) = 2

We will now calculate the prime factors of 23318 and 23332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23318 and 23332.

How to find the GCF of 23318 and 23332?

We will first find the prime factorization of 23318 and 23332. After we will calculate the factors of 23318 and 23332 and find the biggest common factor number .

Step-1: Prime Factorization of 23318

Prime factors of 23318 are 2, 89, 131. Prime factorization of 23318 in exponential form is:

23318 = 2¹ × 89¹ × 131¹

Step-2: Prime Factorization of 23332

Prime factors of 23332 are 2, 19, 307. Prime factorization of 23332 in exponential form is:

23332 = 2² × 19¹ × 307¹

Step-3: Factors of 23318

List of positive integer factors of 23318 that divides 23318 without a remainder.

1, 2, 89, 131, 178, 262, 11659

Step-4: Factors of 23332

List of positive integer factors of 23332 that divides 23318 without a remainder.

1, 2, 4, 19, 38, 76, 307, 614, 1228, 5833, 11666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23318 and 23332. The biggest common factor number is the GCF number.
So the greatest common factor 23318 and 23332 is 2.

Also check out the Least Common Multiple of 23318 and 23332