What is the Greatest Common Factor of 16090 and 16110?

Greatest common factor (GCF) of 16090 and 16110 is 10.

GCF(16090,16110) = 10

We will now calculate the prime factors of 16090 and 16110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16090 and 16110.

How to find the GCF of 16090 and 16110?

We will first find the prime factorization of 16090 and 16110. After we will calculate the factors of 16090 and 16110 and find the biggest common factor number .

Step-1: Prime Factorization of 16090

Prime factors of 16090 are 2, 5, 1609. Prime factorization of 16090 in exponential form is:

16090 = 2¹ × 5¹ × 1609¹

Step-2: Prime Factorization of 16110

Prime factors of 16110 are 2, 3, 5, 179. Prime factorization of 16110 in exponential form is:

16110 = 2¹ × 3² × 5¹ × 179¹

Step-3: Factors of 16090

List of positive integer factors of 16090 that divides 16090 without a remainder.

1, 2, 5, 10, 1609, 3218, 8045

Step-4: Factors of 16110

List of positive integer factors of 16110 that divides 16090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 179, 358, 537, 895, 1074, 1611, 1790, 2685, 3222, 5370, 8055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16090 and 16110. The biggest common factor number is the GCF number.
So the greatest common factor 16090 and 16110 is 10.

Also check out the Least Common Multiple of 16090 and 16110