What is the Greatest Common Factor of 10890 and 10905?

Greatest common factor (GCF) of 10890 and 10905 is 15.

GCF(10890,10905) = 15

We will now calculate the prime factors of 10890 and 10905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10890 and 10905.

How to find the GCF of 10890 and 10905?

We will first find the prime factorization of 10890 and 10905. After we will calculate the factors of 10890 and 10905 and find the biggest common factor number .

Step-1: Prime Factorization of 10890

Prime factors of 10890 are 2, 3, 5, 11. Prime factorization of 10890 in exponential form is:

10890 = 2¹ × 3² × 5¹ × 11²

Step-2: Prime Factorization of 10905

Prime factors of 10905 are 3, 5, 727. Prime factorization of 10905 in exponential form is:

10905 = 3¹ × 5¹ × 727¹

Step-3: Factors of 10890

List of positive integer factors of 10890 that divides 10890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 121, 165, 198, 242, 330, 363, 495, 605, 726, 990, 1089, 1210, 1815, 2178, 3630, 5445

Step-4: Factors of 10905

List of positive integer factors of 10905 that divides 10890 without a remainder.

1, 3, 5, 15, 727, 2181, 3635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10890 and 10905. The biggest common factor number is the GCF number.
So the greatest common factor 10890 and 10905 is 15.

Also check out the Least Common Multiple of 10890 and 10905