What is the Greatest Common Factor of 55971 and 55986?

Greatest common factor (GCF) of 55971 and 55986 is 3.

GCF(55971,55986) = 3

We will now calculate the prime factors of 55971 and 55986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55971 and 55986.

How to find the GCF of 55971 and 55986?

We will first find the prime factorization of 55971 and 55986. After we will calculate the factors of 55971 and 55986 and find the biggest common factor number .

Step-1: Prime Factorization of 55971

Prime factors of 55971 are 3, 691. Prime factorization of 55971 in exponential form is:

55971 = 3⁴ × 691¹

Step-2: Prime Factorization of 55986

Prime factors of 55986 are 2, 3, 7, 31, 43. Prime factorization of 55986 in exponential form is:

55986 = 2¹ × 3¹ × 7¹ × 31¹ × 43¹

Step-3: Factors of 55971

List of positive integer factors of 55971 that divides 55971 without a remainder.

1, 3, 9, 27, 81, 691, 2073, 6219, 18657

Step-4: Factors of 55986

List of positive integer factors of 55986 that divides 55971 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 43, 62, 86, 93, 129, 186, 217, 258, 301, 434, 602, 651, 903, 1302, 1333, 1806, 2666, 3999, 7998, 9331, 18662, 27993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55971 and 55986. The biggest common factor number is the GCF number.
So the greatest common factor 55971 and 55986 is 3.

Also check out the Least Common Multiple of 55971 and 55986