What is the Greatest Common Factor of 25944 and 25959?

Greatest common factor (GCF) of 25944 and 25959 is 3.

GCF(25944,25959) = 3

We will now calculate the prime factors of 25944 and 25959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25944 and 25959.

How to find the GCF of 25944 and 25959?

We will first find the prime factorization of 25944 and 25959. After we will calculate the factors of 25944 and 25959 and find the biggest common factor number .

Step-1: Prime Factorization of 25944

Prime factors of 25944 are 2, 3, 23, 47. Prime factorization of 25944 in exponential form is:

25944 = 2³ × 3¹ × 23¹ × 47¹

Step-2: Prime Factorization of 25959

Prime factors of 25959 are 3, 17, 509. Prime factorization of 25959 in exponential form is:

25959 = 3¹ × 17¹ × 509¹

Step-3: Factors of 25944

List of positive integer factors of 25944 that divides 25944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 47, 69, 92, 94, 138, 141, 184, 188, 276, 282, 376, 552, 564, 1081, 1128, 2162, 3243, 4324, 6486, 8648, 12972

Step-4: Factors of 25959

List of positive integer factors of 25959 that divides 25944 without a remainder.

1, 3, 17, 51, 509, 1527, 8653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25944 and 25959. The biggest common factor number is the GCF number.
So the greatest common factor 25944 and 25959 is 3.

Also check out the Least Common Multiple of 25944 and 25959