What is the Greatest Common Factor of 24105 and 24115?

Greatest common factor (GCF) of 24105 and 24115 is 5.

GCF(24105,24115) = 5

We will now calculate the prime factors of 24105 and 24115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24105 and 24115.

How to find the GCF of 24105 and 24115?

We will first find the prime factorization of 24105 and 24115. After we will calculate the factors of 24105 and 24115 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 24115

Prime factors of 24115 are 5, 7, 13, 53. Prime factorization of 24115 in exponential form is:

24115 = 5¹ × 7¹ × 13¹ × 53¹

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 24115

List of positive integer factors of 24115 that divides 24105 without a remainder.

1, 5, 7, 13, 35, 53, 65, 91, 265, 371, 455, 689, 1855, 3445, 4823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24105 and 24115. The biggest common factor number is the GCF number.
So the greatest common factor 24105 and 24115 is 5.

Also check out the Least Common Multiple of 24105 and 24115