What is the Greatest Common Factor of 25584 and 25599?

Greatest common factor (GCF) of 25584 and 25599 is 3.

GCF(25584,25599) = 3

We will now calculate the prime factors of 25584 and 25599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25584 and 25599.

How to find the GCF of 25584 and 25599?

We will first find the prime factorization of 25584 and 25599. After we will calculate the factors of 25584 and 25599 and find the biggest common factor number .

Step-1: Prime Factorization of 25584

Prime factors of 25584 are 2, 3, 13, 41. Prime factorization of 25584 in exponential form is:

25584 = 2⁴ × 3¹ × 13¹ × 41¹

Step-2: Prime Factorization of 25599

Prime factors of 25599 are 3, 7, 23, 53. Prime factorization of 25599 in exponential form is:

25599 = 3¹ × 7¹ × 23¹ × 53¹

Step-3: Factors of 25584

List of positive integer factors of 25584 that divides 25584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 41, 48, 52, 78, 82, 104, 123, 156, 164, 208, 246, 312, 328, 492, 533, 624, 656, 984, 1066, 1599, 1968, 2132, 3198, 4264, 6396, 8528, 12792

Step-4: Factors of 25599

List of positive integer factors of 25599 that divides 25584 without a remainder.

1, 3, 7, 21, 23, 53, 69, 159, 161, 371, 483, 1113, 1219, 3657, 8533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25584 and 25599. The biggest common factor number is the GCF number.
So the greatest common factor 25584 and 25599 is 3.

Also check out the Least Common Multiple of 25584 and 25599