What is the Greatest Common Factor of 55959 and 55971?

Greatest common factor (GCF) of 55959 and 55971 is 3.

GCF(55959,55971) = 3

We will now calculate the prime factors of 55959 and 55971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55959 and 55971.

How to find the GCF of 55959 and 55971?

We will first find the prime factorization of 55959 and 55971. After we will calculate the factors of 55959 and 55971 and find the biggest common factor number .

Step-1: Prime Factorization of 55959

Prime factors of 55959 are 3, 23, 811. Prime factorization of 55959 in exponential form is:

55959 = 3¹ × 23¹ × 811¹

Step-2: Prime Factorization of 55971

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

55971 = 3⁴ × 691¹

Step-3: Factors of 55959

List of positive integer factors of 55959 that divides 55959 without a remainder.

1, 3, 23, 69, 811, 2433, 18653

Step-4: Factors of 55971

List of positive integer factors of 55971 that divides 55959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55959 and 55971. The biggest common factor number is the GCF number.
So the greatest common factor 55959 and 55971 is 3.

Also check out the Least Common Multiple of 55959 and 55971