What is the Greatest Common Factor of 10089 and 10095?

Greatest common factor (GCF) of 10089 and 10095 is 3.

GCF(10089,10095) = 3

We will now calculate the prime factors of 10089 and 10095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10089 and 10095.

How to find the GCF of 10089 and 10095?

We will first find the prime factorization of 10089 and 10095. After we will calculate the factors of 10089 and 10095 and find the biggest common factor number .

Step-1: Prime Factorization of 10089

Prime factors of 10089 are 3, 19, 59. Prime factorization of 10089 in exponential form is:

10089 = 3² × 19¹ × 59¹

Step-2: Prime Factorization of 10095

Prime factors of 10095 are 3, 5, 673. Prime factorization of 10095 in exponential form is:

10095 = 3¹ × 5¹ × 673¹

Step-3: Factors of 10089

List of positive integer factors of 10089 that divides 10089 without a remainder.

1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363

Step-4: Factors of 10095

List of positive integer factors of 10095 that divides 10089 without a remainder.

1, 3, 5, 15, 673, 2019, 3365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10089 and 10095. The biggest common factor number is the GCF number.
So the greatest common factor 10089 and 10095 is 3.

Also check out the Least Common Multiple of 10089 and 10095