What is the Greatest Common Factor of 23380 and 23398?

Greatest common factor (GCF) of 23380 and 23398 is 2.

GCF(23380,23398) = 2

We will now calculate the prime factors of 23380 and 23398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23380 and 23398.

How to find the GCF of 23380 and 23398?

We will first find the prime factorization of 23380 and 23398. After we will calculate the factors of 23380 and 23398 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 23398

Prime factors of 23398 are 2, 11699. Prime factorization of 23398 in exponential form is:

23398 = 2¹ × 11699¹

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 23398

List of positive integer factors of 23398 that divides 23380 without a remainder.

1, 2, 11699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23380 and 23398. The biggest common factor number is the GCF number.
So the greatest common factor 23380 and 23398 is 2.

Also check out the Least Common Multiple of 23380 and 23398