What is the Greatest Common Factor of 24135 and 24155?

Greatest common factor (GCF) of 24135 and 24155 is 5.

GCF(24135,24155) = 5

We will now calculate the prime factors of 24135 and 24155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24135 and 24155.

How to find the GCF of 24135 and 24155?

We will first find the prime factorization of 24135 and 24155. After we will calculate the factors of 24135 and 24155 and find the biggest common factor number .

Step-1: Prime Factorization of 24135

Prime factors of 24135 are 3, 5, 1609. Prime factorization of 24135 in exponential form is:

24135 = 3¹ × 5¹ × 1609¹

Step-2: Prime Factorization of 24155

Prime factors of 24155 are 5, 4831. Prime factorization of 24155 in exponential form is:

24155 = 5¹ × 4831¹

Step-3: Factors of 24135

List of positive integer factors of 24135 that divides 24135 without a remainder.

1, 3, 5, 15, 1609, 4827, 8045

Step-4: Factors of 24155

List of positive integer factors of 24155 that divides 24135 without a remainder.

1, 5, 4831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24135 and 24155. The biggest common factor number is the GCF number.
So the greatest common factor 24135 and 24155 is 5.

Also check out the Least Common Multiple of 24135 and 24155