What is the Greatest Common Factor of 24167 and 24180?

Greatest common factor (GCF) of 24167 and 24180 is 13.

GCF(24167,24180) = 13

We will now calculate the prime factors of 24167 and 24180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24167 and 24180.

How to find the GCF of 24167 and 24180?

We will first find the prime factorization of 24167 and 24180. After we will calculate the factors of 24167 and 24180 and find the biggest common factor number .

Step-1: Prime Factorization of 24167

Prime factors of 24167 are 11, 13. Prime factorization of 24167 in exponential form is:

24167 = 11¹ × 13³

Step-2: Prime Factorization of 24180

Prime factors of 24180 are 2, 3, 5, 13, 31. Prime factorization of 24180 in exponential form is:

24180 = 2² × 3¹ × 5¹ × 13¹ × 31¹

Step-3: Factors of 24167

List of positive integer factors of 24167 that divides 24167 without a remainder.

1, 11, 13, 143, 169, 1859, 2197

Step-4: Factors of 24180

List of positive integer factors of 24180 that divides 24167 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 31, 39, 52, 60, 62, 65, 78, 93, 124, 130, 155, 156, 186, 195, 260, 310, 372, 390, 403, 465, 620, 780, 806, 930, 1209, 1612, 1860, 2015, 2418, 4030, 4836, 6045, 8060, 12090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24167 and 24180. The biggest common factor number is the GCF number.
So the greatest common factor 24167 and 24180 is 13.

Also check out the Least Common Multiple of 24167 and 24180