What is the Greatest Common Factor of 55944 and 55953?

Greatest common factor (GCF) of 55944 and 55953 is 9.

GCF(55944,55953) = 9

We will now calculate the prime factors of 55944 and 55953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55944 and 55953.

How to find the GCF of 55944 and 55953?

We will first find the prime factorization of 55944 and 55953. After we will calculate the factors of 55944 and 55953 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 55953

Prime factors of 55953 are 3, 6217. Prime factorization of 55953 in exponential form is:

55953 = 3² × 6217¹

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 55953

List of positive integer factors of 55953 that divides 55944 without a remainder.

1, 3, 9, 6217, 18651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55944 and 55953. The biggest common factor number is the GCF number.
So the greatest common factor 55944 and 55953 is 9.

Also check out the Least Common Multiple of 55944 and 55953