What is the Greatest Common Factor of 25326 and 25344?

Greatest common factor (GCF) of 25326 and 25344 is 18.

GCF(25326,25344) = 18

We will now calculate the prime factors of 25326 and 25344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25326 and 25344.

How to find the GCF of 25326 and 25344?

We will first find the prime factorization of 25326 and 25344. After we will calculate the factors of 25326 and 25344 and find the biggest common factor number .

Step-1: Prime Factorization of 25326

Prime factors of 25326 are 2, 3, 7, 67. Prime factorization of 25326 in exponential form is:

25326 = 2¹ × 3³ × 7¹ × 67¹

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 25326

List of positive integer factors of 25326 that divides 25326 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 126, 134, 189, 201, 378, 402, 469, 603, 938, 1206, 1407, 1809, 2814, 3618, 4221, 8442, 12663

Step-4: Factors of 25344

List of positive integer factors of 25344 that divides 25326 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 25326 and 25344. The biggest common factor number is the GCF number.
So the greatest common factor 25326 and 25344 is 18.

Also check out the Least Common Multiple of 25326 and 25344