What is the Greatest Common Factor of 25275 and 25284?

Greatest common factor (GCF) of 25275 and 25284 is 3.

GCF(25275,25284) = 3

We will now calculate the prime factors of 25275 and 25284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25275 and 25284.

How to find the GCF of 25275 and 25284?

We will first find the prime factorization of 25275 and 25284. After we will calculate the factors of 25275 and 25284 and find the biggest common factor number .

Step-1: Prime Factorization of 25275

Prime factors of 25275 are 3, 5, 337. Prime factorization of 25275 in exponential form is:

25275 = 3¹ × 5² × 337¹

Step-2: Prime Factorization of 25284

Prime factors of 25284 are 2, 3, 7, 43. Prime factorization of 25284 in exponential form is:

25284 = 2² × 3¹ × 7² × 43¹

Step-3: Factors of 25275

List of positive integer factors of 25275 that divides 25275 without a remainder.

1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425

Step-4: Factors of 25284

List of positive integer factors of 25284 that divides 25275 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25275 and 25284. The biggest common factor number is the GCF number.
So the greatest common factor 25275 and 25284 is 3.

Also check out the Least Common Multiple of 25275 and 25284