What is the Greatest Common Factor of 55944 and 55956?

Greatest common factor (GCF) of 55944 and 55956 is 12.

GCF(55944,55956) = 12

We will now calculate the prime factors of 55944 and 55956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55944 and 55956.

How to find the GCF of 55944 and 55956?

We will first find the prime factorization of 55944 and 55956. After we will calculate the factors of 55944 and 55956 and find the biggest common factor number .

Step-1: Prime Factorization of 55944

Prime factors of 55944 are 2, 3, 7, 37. Prime factorization of 55944 in exponential form is:

55944 = 2³ × 3³ × 7¹ × 37¹

Step-2: Prime Factorization of 55956

Prime factors of 55956 are 2, 3, 4663. Prime factorization of 55956 in exponential form is:

55956 = 2² × 3¹ × 4663¹

Step-3: Factors of 55944

List of positive integer factors of 55944 that divides 55944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 37, 42, 54, 56, 63, 72, 74, 84, 108, 111, 126, 148, 168, 189, 216, 222, 252, 259, 296, 333, 378, 444, 504, 518, 666, 756, 777, 888, 999, 1036, 1332, 1512, 1554, 1998, 2072, 2331, 2664, 3108, 3996, 4662, 6216, 6993, 7992, 9324, 13986, 18648, 27972

Step-4: Factors of 55956

List of positive integer factors of 55956 that divides 55944 without a remainder.

1, 2, 3, 4, 6, 12, 4663, 9326, 13989, 18652, 27978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55944 and 55956. The biggest common factor number is the GCF number.
So the greatest common factor 55944 and 55956 is 12.

Also check out the Least Common Multiple of 55944 and 55956