What is the Greatest Common Factor of 24282 and 24300?

Greatest common factor (GCF) of 24282 and 24300 is 18.

GCF(24282,24300) = 18

We will now calculate the prime factors of 24282 and 24300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24282 and 24300.

How to find the GCF of 24282 and 24300?

We will first find the prime factorization of 24282 and 24300. After we will calculate the factors of 24282 and 24300 and find the biggest common factor number .

Step-1: Prime Factorization of 24282

Prime factors of 24282 are 2, 3, 19, 71. Prime factorization of 24282 in exponential form is:

24282 = 2¹ × 3² × 19¹ × 71¹

Step-2: Prime Factorization of 24300

Prime factors of 24300 are 2, 3, 5. Prime factorization of 24300 in exponential form is:

24300 = 2² × 3⁵ × 5²

Step-3: Factors of 24282

List of positive integer factors of 24282 that divides 24282 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 71, 114, 142, 171, 213, 342, 426, 639, 1278, 1349, 2698, 4047, 8094, 12141

Step-4: Factors of 24300

List of positive integer factors of 24300 that divides 24282 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 243, 270, 300, 324, 405, 450, 486, 540, 675, 810, 900, 972, 1215, 1350, 1620, 2025, 2430, 2700, 4050, 4860, 6075, 8100, 12150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24282 and 24300. The biggest common factor number is the GCF number.
So the greatest common factor 24282 and 24300 is 18.

Also check out the Least Common Multiple of 24282 and 24300