What is the Greatest Common Factor of 23380 and 23396?

Greatest common factor (GCF) of 23380 and 23396 is 4.

GCF(23380,23396) = 4

We will now calculate the prime factors of 23380 and 23396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23380 and 23396.

How to find the GCF of 23380 and 23396?

We will first find the prime factorization of 23380 and 23396. After we will calculate the factors of 23380 and 23396 and find the biggest common factor number .

Step-1: Prime Factorization of 23380

Prime factors of 23380 are 2, 5, 7, 167. Prime factorization of 23380 in exponential form is:

23380 = 2² × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 23396

Prime factors of 23396 are 2, 5849. Prime factorization of 23396 in exponential form is:

23396 = 2² × 5849¹

Step-3: Factors of 23380

List of positive integer factors of 23380 that divides 23380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690

Step-4: Factors of 23396

List of positive integer factors of 23396 that divides 23380 without a remainder.

1, 2, 4, 5849, 11698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23380 and 23396. The biggest common factor number is the GCF number.
So the greatest common factor 23380 and 23396 is 4.

Also check out the Least Common Multiple of 23380 and 23396