What is the Greatest Common Factor of 24525 and 24535?

Greatest common factor (GCF) of 24525 and 24535 is 5.

GCF(24525,24535) = 5

We will now calculate the prime factors of 24525 and 24535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24525 and 24535.

How to find the GCF of 24525 and 24535?

We will first find the prime factorization of 24525 and 24535. After we will calculate the factors of 24525 and 24535 and find the biggest common factor number .

Step-1: Prime Factorization of 24525

Prime factors of 24525 are 3, 5, 109. Prime factorization of 24525 in exponential form is:

24525 = 3² × 5² × 109¹

Step-2: Prime Factorization of 24535

Prime factors of 24535 are 5, 7, 701. Prime factorization of 24535 in exponential form is:

24535 = 5¹ × 7¹ × 701¹

Step-3: Factors of 24525

List of positive integer factors of 24525 that divides 24525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 109, 225, 327, 545, 981, 1635, 2725, 4905, 8175

Step-4: Factors of 24535

List of positive integer factors of 24535 that divides 24525 without a remainder.

1, 5, 7, 35, 701, 3505, 4907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24525 and 24535. The biggest common factor number is the GCF number.
So the greatest common factor 24525 and 24535 is 5.

Also check out the Least Common Multiple of 24525 and 24535