What is the Greatest Common Factor of 55089 and 55095?

Greatest common factor (GCF) of 55089 and 55095 is 3.

GCF(55089,55095) = 3

We will now calculate the prime factors of 55089 and 55095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55089 and 55095.

How to find the GCF of 55089 and 55095?

We will first find the prime factorization of 55089 and 55095. After we will calculate the factors of 55089 and 55095 and find the biggest common factor number .

Step-1: Prime Factorization of 55089

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

55089 = 3² × 6121¹

Step-2: Prime Factorization of 55095

Prime factors of 55095 are 3, 5, 3673. Prime factorization of 55095 in exponential form is:

55095 = 3¹ × 5¹ × 3673¹

Step-3: Factors of 55089

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

1, 3, 9, 6121, 18363

Step-4: Factors of 55095

List of positive integer factors of 55095 that divides 55089 without a remainder.

1, 3, 5, 15, 3673, 11019, 18365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55089 and 55095. The biggest common factor number is the GCF number.
So the greatest common factor 55089 and 55095 is 3.

Also check out the Least Common Multiple of 55089 and 55095