What is the Greatest Common Factor of 24108 and 24120?

Greatest common factor (GCF) of 24108 and 24120 is 12.

GCF(24108,24120) = 12

We will now calculate the prime factors of 24108 and 24120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24108 and 24120.

How to find the GCF of 24108 and 24120?

We will first find the prime factorization of 24108 and 24120. After we will calculate the factors of 24108 and 24120 and find the biggest common factor number .

Step-1: Prime Factorization of 24108

Prime factors of 24108 are 2, 3, 7, 41. Prime factorization of 24108 in exponential form is:

24108 = 2² × 3¹ × 7² × 41¹

Step-2: 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-3: Factors of 24108

List of positive integer factors of 24108 that divides 24108 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 49, 82, 84, 98, 123, 147, 164, 196, 246, 287, 294, 492, 574, 588, 861, 1148, 1722, 2009, 3444, 4018, 6027, 8036, 12054

Step-4: Factors of 24120

List of positive integer factors of 24120 that divides 24108 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24108 and 24120. The biggest common factor number is the GCF number.
So the greatest common factor 24108 and 24120 is 12.

Also check out the Least Common Multiple of 24108 and 24120