What is the Greatest Common Factor of 25488 and 25503?

Greatest common factor (GCF) of 25488 and 25503 is 3.

GCF(25488,25503) = 3

We will now calculate the prime factors of 25488 and 25503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25488 and 25503.

How to find the GCF of 25488 and 25503?

We will first find the prime factorization of 25488 and 25503. After we will calculate the factors of 25488 and 25503 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25503

Prime factors of 25503 are 3, 8501. Prime factorization of 25503 in exponential form is:

25503 = 3¹ × 8501¹

Step-3: Factors of 25488

List of positive integer factors of 25488 that divides 25488 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

Step-4: Factors of 25503

List of positive integer factors of 25503 that divides 25488 without a remainder.

1, 3, 8501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25488 and 25503. The biggest common factor number is the GCF number.
So the greatest common factor 25488 and 25503 is 3.

Also check out the Least Common Multiple of 25488 and 25503