What is the Greatest Common Factor of 55944 and 55962?

Greatest common factor (GCF) of 55944 and 55962 is 18.

GCF(55944,55962) = 18

We will now calculate the prime factors of 55944 and 55962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55944 and 55962.

How to find the GCF of 55944 and 55962?

We will first find the prime factorization of 55944 and 55962. After we will calculate the factors of 55944 and 55962 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 55962

Prime factors of 55962 are 2, 3, 3109. Prime factorization of 55962 in exponential form is:

55962 = 2¹ × 3² × 3109¹

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 55962

List of positive integer factors of 55962 that divides 55944 without a remainder.

1, 2, 3, 6, 9, 18, 3109, 6218, 9327, 18654, 27981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55944 and 55962. The biggest common factor number is the GCF number.
So the greatest common factor 55944 and 55962 is 18.

Also check out the Least Common Multiple of 55944 and 55962