What is the Greatest Common Factor of 24176 and 24180?

Greatest common factor (GCF) of 24176 and 24180 is 4.

GCF(24176,24180) = 4

We will now calculate the prime factors of 24176 and 24180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24176 and 24180.

How to find the GCF of 24176 and 24180?

We will first find the prime factorization of 24176 and 24180. After we will calculate the factors of 24176 and 24180 and find the biggest common factor number .

Step-1: Prime Factorization of 24176

Prime factors of 24176 are 2, 1511. Prime factorization of 24176 in exponential form is:

24176 = 2⁴ × 1511¹

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 24176

List of positive integer factors of 24176 that divides 24176 without a remainder.

1, 2, 4, 8, 16, 1511, 3022, 6044, 12088

Step-4: Factors of 24180

List of positive integer factors of 24180 that divides 24176 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 24176 and 24180. The biggest common factor number is the GCF number.
So the greatest common factor 24176 and 24180 is 4.

Also check out the Least Common Multiple of 24176 and 24180