What is the Greatest Common Factor of 11090 and 11105?

Greatest common factor (GCF) of 11090 and 11105 is 5.

GCF(11090,11105) = 5

We will now calculate the prime factors of 11090 and 11105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11090 and 11105.

How to find the GCF of 11090 and 11105?

We will first find the prime factorization of 11090 and 11105. After we will calculate the factors of 11090 and 11105 and find the biggest common factor number .

Step-1: Prime Factorization of 11090

Prime factors of 11090 are 2, 5, 1109. Prime factorization of 11090 in exponential form is:

11090 = 2¹ × 5¹ × 1109¹

Step-2: Prime Factorization of 11105

Prime factors of 11105 are 5, 2221. Prime factorization of 11105 in exponential form is:

11105 = 5¹ × 2221¹

Step-3: Factors of 11090

List of positive integer factors of 11090 that divides 11090 without a remainder.

1, 2, 5, 10, 1109, 2218, 5545

Step-4: Factors of 11105

List of positive integer factors of 11105 that divides 11090 without a remainder.

1, 5, 2221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11090 and 11105. The biggest common factor number is the GCF number.
So the greatest common factor 11090 and 11105 is 5.

Also check out the Least Common Multiple of 11090 and 11105