What is the Greatest Common Factor of 11080 and 11090?

Greatest common factor (GCF) of 11080 and 11090 is 10.

GCF(11080,11090) = 10

We will now calculate the prime factors of 11080 and 11090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11080 and 11090.

How to find the GCF of 11080 and 11090?

We will first find the prime factorization of 11080 and 11090. After we will calculate the factors of 11080 and 11090 and find the biggest common factor number .

Step-1: Prime Factorization of 11080

Prime factors of 11080 are 2, 5, 277. Prime factorization of 11080 in exponential form is:

11080 = 2³ × 5¹ × 277¹

Step-2: 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-3: Factors of 11080

List of positive integer factors of 11080 that divides 11080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 277, 554, 1108, 1385, 2216, 2770, 5540

Step-4: Factors of 11090

List of positive integer factors of 11090 that divides 11080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11080 and 11090. The biggest common factor number is the GCF number.
So the greatest common factor 11080 and 11090 is 10.

Also check out the Least Common Multiple of 11080 and 11090