What is the Greatest Common Factor of 25566 and 25584?

Greatest common factor (GCF) of 25566 and 25584 is 6.

GCF(25566,25584) = 6

We will now calculate the prime factors of 25566 and 25584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25566 and 25584.

How to find the GCF of 25566 and 25584?

We will first find the prime factorization of 25566 and 25584. After we will calculate the factors of 25566 and 25584 and find the biggest common factor number .

Step-1: Prime Factorization of 25566

Prime factors of 25566 are 2, 3, 4261. Prime factorization of 25566 in exponential form is:

25566 = 2¹ × 3¹ × 4261¹

Step-2: 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-3: Factors of 25566

List of positive integer factors of 25566 that divides 25566 without a remainder.

1, 2, 3, 6, 4261, 8522, 12783

Step-4: Factors of 25584

List of positive integer factors of 25584 that divides 25566 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25566 and 25584. The biggest common factor number is the GCF number.
So the greatest common factor 25566 and 25584 is 6.

Also check out the Least Common Multiple of 25566 and 25584