What is the Greatest Common Factor of 24180 and 24197?

Greatest common factor (GCF) of 24180 and 24197 is 1.

GCF(24180,24197) = 1

We will now calculate the prime factors of 24180 and 24197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24180 and 24197.

How to find the GCF of 24180 and 24197?

We will first find the prime factorization of 24180 and 24197. After we will calculate the factors of 24180 and 24197 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24197

Prime factors of 24197 are 24197. Prime factorization of 24197 in exponential form is:

24197 = 24197¹

Step-3: Factors of 24180

List of positive integer factors of 24180 that divides 24180 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

Step-4: Factors of 24197

List of positive integer factors of 24197 that divides 24180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24180 and 24197. The biggest common factor number is the GCF number.
So the greatest common factor 24180 and 24197 is 1.

Also check out the Least Common Multiple of 24180 and 24197