What is the Greatest Common Factor of 55359 and 55371?

Greatest common factor (GCF) of 55359 and 55371 is 3.

GCF(55359,55371) = 3

We will now calculate the prime factors of 55359 and 55371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55359 and 55371.

How to find the GCF of 55359 and 55371?

We will first find the prime factorization of 55359 and 55371. After we will calculate the factors of 55359 and 55371 and find the biggest common factor number .

Step-1: Prime Factorization of 55359

Prime factors of 55359 are 3, 6151. Prime factorization of 55359 in exponential form is:

55359 = 3² × 6151¹

Step-2: Prime Factorization of 55371

Prime factors of 55371 are 3, 18457. Prime factorization of 55371 in exponential form is:

55371 = 3¹ × 18457¹

Step-3: Factors of 55359

List of positive integer factors of 55359 that divides 55359 without a remainder.

1, 3, 9, 6151, 18453

Step-4: Factors of 55371

List of positive integer factors of 55371 that divides 55359 without a remainder.

1, 3, 18457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55359 and 55371. The biggest common factor number is the GCF number.
So the greatest common factor 55359 and 55371 is 3.

Also check out the Least Common Multiple of 55359 and 55371