What is the Greatest Common Factor of 25584 and 25590?

Greatest common factor (GCF) of 25584 and 25590 is 6.

GCF(25584,25590) = 6

We will now calculate the prime factors of 25584 and 25590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25584 and 25590.

How to find the GCF of 25584 and 25590?

We will first find the prime factorization of 25584 and 25590. After we will calculate the factors of 25584 and 25590 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 25590

Prime factors of 25590 are 2, 3, 5, 853. Prime factorization of 25590 in exponential form is:

25590 = 2¹ × 3¹ × 5¹ × 853¹

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 25590

List of positive integer factors of 25590 that divides 25584 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 853, 1706, 2559, 4265, 5118, 8530, 12795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25584 and 25590. The biggest common factor number is the GCF number.
So the greatest common factor 25584 and 25590 is 6.

Also check out the Least Common Multiple of 25584 and 25590