What is the Greatest Common Factor of 24120 and 24129?

Greatest common factor (GCF) of 24120 and 24129 is 9.

GCF(24120,24129) = 9

We will now calculate the prime factors of 24120 and 24129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24120 and 24129.

How to find the GCF of 24120 and 24129?

We will first find the prime factorization of 24120 and 24129. After we will calculate the factors of 24120 and 24129 and find the biggest common factor number .

Step-1: Prime Factorization of 24120

Prime factors of 24120 are 2, 3, 5, 67. Prime factorization of 24120 in exponential form is:

24120 = 2³ × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 24129

Prime factors of 24129 are 3, 7, 383. Prime factorization of 24129 in exponential form is:

24129 = 3² × 7¹ × 383¹

Step-3: Factors of 24120

List of positive integer factors of 24120 that divides 24120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060

Step-4: Factors of 24129

List of positive integer factors of 24129 that divides 24120 without a remainder.

1, 3, 7, 9, 21, 63, 383, 1149, 2681, 3447, 8043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24120 and 24129. The biggest common factor number is the GCF number.
So the greatest common factor 24120 and 24129 is 9.

Also check out the Least Common Multiple of 24120 and 24129