What is the Greatest Common Factor of 25344 and 25362?

Greatest common factor (GCF) of 25344 and 25362 is 18.

GCF(25344,25362) = 18

We will now calculate the prime factors of 25344 and 25362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25344 and 25362.

How to find the GCF of 25344 and 25362?

We will first find the prime factorization of 25344 and 25362. After we will calculate the factors of 25344 and 25362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25362

Prime factors of 25362 are 2, 3, 1409. Prime factorization of 25362 in exponential form is:

25362 = 2¹ × 3² × 1409¹

Step-3: Factors of 25344

List of positive integer factors of 25344 that divides 25344 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

Step-4: Factors of 25362

List of positive integer factors of 25362 that divides 25344 without a remainder.

1, 2, 3, 6, 9, 18, 1409, 2818, 4227, 8454, 12681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25344 and 25362. The biggest common factor number is the GCF number.
So the greatest common factor 25344 and 25362 is 18.

Also check out the Least Common Multiple of 25344 and 25362