What is the Greatest Common Factor of 25314 and 25323?

Greatest common factor (GCF) of 25314 and 25323 is 3.

GCF(25314,25323) = 3

We will now calculate the prime factors of 25314 and 25323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25314 and 25323.

How to find the GCF of 25314 and 25323?

We will first find the prime factorization of 25314 and 25323. After we will calculate the factors of 25314 and 25323 and find the biggest common factor number .

Step-1: Prime Factorization of 25314

Prime factors of 25314 are 2, 3, 4219. Prime factorization of 25314 in exponential form is:

25314 = 2¹ × 3¹ × 4219¹

Step-2: 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-3: Factors of 25314

List of positive integer factors of 25314 that divides 25314 without a remainder.

1, 2, 3, 6, 4219, 8438, 12657

Step-4: Factors of 25323

List of positive integer factors of 25323 that divides 25314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25314 and 25323. The biggest common factor number is the GCF number.
So the greatest common factor 25314 and 25323 is 3.

Also check out the Least Common Multiple of 25314 and 25323