What is the Greatest Common Factor of 25484 and 25488?

Greatest common factor (GCF) of 25484 and 25488 is 4.

GCF(25484,25488) = 4

We will now calculate the prime factors of 25484 and 25488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25484 and 25488.

How to find the GCF of 25484 and 25488?

We will first find the prime factorization of 25484 and 25488. After we will calculate the factors of 25484 and 25488 and find the biggest common factor number .

Step-1: Prime Factorization of 25484

Prime factors of 25484 are 2, 23, 277. Prime factorization of 25484 in exponential form is:

25484 = 2² × 23¹ × 277¹

Step-2: Prime Factorization of 25488

Prime factors of 25488 are 2, 3, 59. Prime factorization of 25488 in exponential form is:

25488 = 2⁴ × 3³ × 59¹

Step-3: Factors of 25484

List of positive integer factors of 25484 that divides 25484 without a remainder.

1, 2, 4, 23, 46, 92, 277, 554, 1108, 6371, 12742

Step-4: Factors of 25488

List of positive integer factors of 25488 that divides 25484 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 108, 118, 144, 177, 216, 236, 354, 432, 472, 531, 708, 944, 1062, 1416, 1593, 2124, 2832, 3186, 4248, 6372, 8496, 12744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25484 and 25488. The biggest common factor number is the GCF number.
So the greatest common factor 25484 and 25488 is 4.

Also check out the Least Common Multiple of 25484 and 25488