What is the Greatest Common Factor of 55971 and 55981?

Greatest common factor (GCF) of 55971 and 55981 is 1.

GCF(55971,55981) = 1

We will now calculate the prime factors of 55971 and 55981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55971 and 55981.

How to find the GCF of 55971 and 55981?

We will first find the prime factorization of 55971 and 55981. After we will calculate the factors of 55971 and 55981 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 55981

Prime factors of 55981 are 17, 37, 89. Prime factorization of 55981 in exponential form is:

55981 = 17¹ × 37¹ × 89¹

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 55981

List of positive integer factors of 55981 that divides 55971 without a remainder.

1, 17, 37, 89, 629, 1513, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55971 and 55981. The biggest common factor number is the GCF number.
So the greatest common factor 55971 and 55981 is 1.

Also check out the Least Common Multiple of 55971 and 55981