What is the Greatest Common Factor of 24120 and 24132?

Greatest common factor (GCF) of 24120 and 24132 is 12.

GCF(24120,24132) = 12

We will now calculate the prime factors of 24120 and 24132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24120 and 24132.

How to find the GCF of 24120 and 24132?

We will first find the prime factorization of 24120 and 24132. After we will calculate the factors of 24120 and 24132 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 24132

Prime factors of 24132 are 2, 3, 2011. Prime factorization of 24132 in exponential form is:

24132 = 2² × 3¹ × 2011¹

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 24132

List of positive integer factors of 24132 that divides 24120 without a remainder.

1, 2, 3, 4, 6, 12, 2011, 4022, 6033, 8044, 12066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24120 and 24132. The biggest common factor number is the GCF number.
So the greatest common factor 24120 and 24132 is 12.

Also check out the Least Common Multiple of 24120 and 24132