What is the Greatest Common Factor of 25944 and 25956?

Greatest common factor (GCF) of 25944 and 25956 is 12.

GCF(25944,25956) = 12

We will now calculate the prime factors of 25944 and 25956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25944 and 25956.

How to find the GCF of 25944 and 25956?

We will first find the prime factorization of 25944 and 25956. After we will calculate the factors of 25944 and 25956 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 25956

Prime factors of 25956 are 2, 3, 7, 103. Prime factorization of 25956 in exponential form is:

25956 = 2² × 3² × 7¹ × 103¹

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 25956

List of positive integer factors of 25956 that divides 25944 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 103, 126, 206, 252, 309, 412, 618, 721, 927, 1236, 1442, 1854, 2163, 2884, 3708, 4326, 6489, 8652, 12978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25944 and 25956. The biggest common factor number is the GCF number.
So the greatest common factor 25944 and 25956 is 12.

Also check out the Least Common Multiple of 25944 and 25956