What is the Greatest Common Factor of 55071 and 55089?

Greatest common factor (GCF) of 55071 and 55089 is 9.

GCF(55071,55089) = 9

We will now calculate the prime factors of 55071 and 55089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55071 and 55089.

How to find the GCF of 55071 and 55089?

We will first find the prime factorization of 55071 and 55089. After we will calculate the factors of 55071 and 55089 and find the biggest common factor number .

Step-1: Prime Factorization of 55071

Prime factors of 55071 are 3, 29, 211. Prime factorization of 55071 in exponential form is:

55071 = 3² × 29¹ × 211¹

Step-2: Prime Factorization of 55089

Prime factors of 55089 are 3, 6121. Prime factorization of 55089 in exponential form is:

55089 = 3² × 6121¹

Step-3: Factors of 55071

List of positive integer factors of 55071 that divides 55071 without a remainder.

1, 3, 9, 29, 87, 211, 261, 633, 1899, 6119, 18357

Step-4: Factors of 55089

List of positive integer factors of 55089 that divides 55071 without a remainder.

1, 3, 9, 6121, 18363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55071 and 55089. The biggest common factor number is the GCF number.
So the greatest common factor 55071 and 55089 is 9.

Also check out the Least Common Multiple of 55071 and 55089