What is the Greatest Common Factor of 24435 and 24445?

Greatest common factor (GCF) of 24435 and 24445 is 5.

GCF(24435,24445) = 5

We will now calculate the prime factors of 24435 and 24445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24435 and 24445.

How to find the GCF of 24435 and 24445?

We will first find the prime factorization of 24435 and 24445. After we will calculate the factors of 24435 and 24445 and find the biggest common factor number .

Step-1: Prime Factorization of 24435

Prime factors of 24435 are 3, 5, 181. Prime factorization of 24435 in exponential form is:

24435 = 3³ × 5¹ × 181¹

Step-2: Prime Factorization of 24445

Prime factors of 24445 are 5, 4889. Prime factorization of 24445 in exponential form is:

24445 = 5¹ × 4889¹

Step-3: Factors of 24435

List of positive integer factors of 24435 that divides 24435 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 181, 543, 905, 1629, 2715, 4887, 8145

Step-4: Factors of 24445

List of positive integer factors of 24445 that divides 24435 without a remainder.

1, 5, 4889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24435 and 24445. The biggest common factor number is the GCF number.
So the greatest common factor 24435 and 24445 is 5.

Also check out the Least Common Multiple of 24435 and 24445