What is the Greatest Common Factor of 55944 and 55958?

Greatest common factor (GCF) of 55944 and 55958 is 14.

GCF(55944,55958) = 14

We will now calculate the prime factors of 55944 and 55958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55944 and 55958.

How to find the GCF of 55944 and 55958?

We will first find the prime factorization of 55944 and 55958. After we will calculate the factors of 55944 and 55958 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 55958

Prime factors of 55958 are 2, 7, 571. Prime factorization of 55958 in exponential form is:

55958 = 2¹ × 7² × 571¹

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 55958

List of positive integer factors of 55958 that divides 55944 without a remainder.

1, 2, 7, 14, 49, 98, 571, 1142, 3997, 7994, 27979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55944 and 55958. The biggest common factor number is the GCF number.
So the greatest common factor 55944 and 55958 is 14.

Also check out the Least Common Multiple of 55944 and 55958