What is the Greatest Common Factor of 25266 and 25284?

Greatest common factor (GCF) of 25266 and 25284 is 6.

GCF(25266,25284) = 6

We will now calculate the prime factors of 25266 and 25284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25266 and 25284.

How to find the GCF of 25266 and 25284?

We will first find the prime factorization of 25266 and 25284. After we will calculate the factors of 25266 and 25284 and find the biggest common factor number .

Step-1: Prime Factorization of 25266

Prime factors of 25266 are 2, 3, 4211. Prime factorization of 25266 in exponential form is:

25266 = 2¹ × 3¹ × 4211¹

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 25266

List of positive integer factors of 25266 that divides 25266 without a remainder.

1, 2, 3, 6, 4211, 8422, 12633

Step-4: Factors of 25284

List of positive integer factors of 25284 that divides 25266 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 25266 and 25284. The biggest common factor number is the GCF number.
So the greatest common factor 25266 and 25284 is 6.

Also check out the Least Common Multiple of 25266 and 25284