What is the Greatest Common Factor of 25338 and 25344?

Greatest common factor (GCF) of 25338 and 25344 is 6.

GCF(25338,25344) = 6

We will now calculate the prime factors of 25338 and 25344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25338 and 25344.

How to find the GCF of 25338 and 25344?

We will first find the prime factorization of 25338 and 25344. After we will calculate the factors of 25338 and 25344 and find the biggest common factor number .

Step-1: Prime Factorization of 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 2¹ × 3¹ × 41¹ × 103¹

Step-2: Prime Factorization of 25344

Prime factors of 25344 are 2, 3, 11. Prime factorization of 25344 in exponential form is:

25344 = 2⁸ × 3² × 11¹

Step-3: Factors of 25338

List of positive integer factors of 25338 that divides 25338 without a remainder.

1, 2, 3, 6, 41, 82, 103, 123, 206, 246, 309, 618, 4223, 8446, 12669

Step-4: Factors of 25344

List of positive integer factors of 25344 that divides 25338 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 256, 264, 288, 352, 384, 396, 528, 576, 704, 768, 792, 1056, 1152, 1408, 1584, 2112, 2304, 2816, 3168, 4224, 6336, 8448, 12672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25338 and 25344. The biggest common factor number is the GCF number.
So the greatest common factor 25338 and 25344 is 6.

Also check out the Least Common Multiple of 25338 and 25344