What is the Greatest Common Factor of 25569 and 25584?

Greatest common factor (GCF) of 25569 and 25584 is 3.

GCF(25569,25584) = 3

We will now calculate the prime factors of 25569 and 25584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25569 and 25584.

How to find the GCF of 25569 and 25584?

We will first find the prime factorization of 25569 and 25584. After we will calculate the factors of 25569 and 25584 and find the biggest common factor number .

Step-1: Prime Factorization of 25569

Prime factors of 25569 are 3, 947. Prime factorization of 25569 in exponential form is:

25569 = 3³ × 947¹

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 25569

List of positive integer factors of 25569 that divides 25569 without a remainder.

1, 3, 9, 27, 947, 2841, 8523

Step-4: Factors of 25584

List of positive integer factors of 25584 that divides 25569 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 25569 and 25584. The biggest common factor number is the GCF number.
So the greatest common factor 25569 and 25584 is 3.

Also check out the Least Common Multiple of 25569 and 25584