What is the Greatest Common Factor of 25323 and 25335?

Greatest common factor (GCF) of 25323 and 25335 is 3.

GCF(25323,25335) = 3

We will now calculate the prime factors of 25323 and 25335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25323 and 25335.

How to find the GCF of 25323 and 25335?

We will first find the prime factorization of 25323 and 25335. After we will calculate the factors of 25323 and 25335 and find the biggest common factor number .

Step-1: Prime Factorization of 25323

Prime factors of 25323 are 3, 23, 367. Prime factorization of 25323 in exponential form is:

25323 = 3¹ × 23¹ × 367¹

Step-2: Prime Factorization of 25335

Prime factors of 25335 are 3, 5, 563. Prime factorization of 25335 in exponential form is:

25335 = 3² × 5¹ × 563¹

Step-3: Factors of 25323

List of positive integer factors of 25323 that divides 25323 without a remainder.

1, 3, 23, 69, 367, 1101, 8441

Step-4: Factors of 25335

List of positive integer factors of 25335 that divides 25323 without a remainder.

1, 3, 5, 9, 15, 45, 563, 1689, 2815, 5067, 8445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25323 and 25335. The biggest common factor number is the GCF number.
So the greatest common factor 25323 and 25335 is 3.

Also check out the Least Common Multiple of 25323 and 25335