What is the Greatest Common Factor of 23180 and 23199?

Greatest common factor (GCF) of 23180 and 23199 is 19.

GCF(23180,23199) = 19

We will now calculate the prime factors of 23180 and 23199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23180 and 23199.

How to find the GCF of 23180 and 23199?

We will first find the prime factorization of 23180 and 23199. After we will calculate the factors of 23180 and 23199 and find the biggest common factor number .

Step-1: Prime Factorization of 23180

Prime factors of 23180 are 2, 5, 19, 61. Prime factorization of 23180 in exponential form is:

23180 = 2² × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 23199

Prime factors of 23199 are 3, 11, 19, 37. Prime factorization of 23199 in exponential form is:

23199 = 3¹ × 11¹ × 19¹ × 37¹

Step-3: Factors of 23180

List of positive integer factors of 23180 that divides 23180 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 61, 76, 95, 122, 190, 244, 305, 380, 610, 1159, 1220, 2318, 4636, 5795, 11590

Step-4: Factors of 23199

List of positive integer factors of 23199 that divides 23180 without a remainder.

1, 3, 11, 19, 33, 37, 57, 111, 209, 407, 627, 703, 1221, 2109, 7733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23180 and 23199. The biggest common factor number is the GCF number.
So the greatest common factor 23180 and 23199 is 19.

Also check out the Least Common Multiple of 23180 and 23199