What is the Greatest Common Factor of 24105 and 24120?

Greatest common factor (GCF) of 24105 and 24120 is 15.

GCF(24105,24120) = 15

We will now calculate the prime factors of 24105 and 24120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24105 and 24120.

How to find the GCF of 24105 and 24120?

We will first find the prime factorization of 24105 and 24120. After we will calculate the factors of 24105 and 24120 and find the biggest common factor number .

Step-1: Prime Factorization of 24105

Prime factors of 24105 are 3, 5, 1607. Prime factorization of 24105 in exponential form is:

24105 = 3¹ × 5¹ × 1607¹

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 24105

List of positive integer factors of 24105 that divides 24105 without a remainder.

1, 3, 5, 15, 1607, 4821, 8035

Step-4: Factors of 24120

List of positive integer factors of 24120 that divides 24105 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 24105 and 24120. The biggest common factor number is the GCF number.
So the greatest common factor 24105 and 24120 is 15.

Also check out the Least Common Multiple of 24105 and 24120