What is the Greatest Common Factor of 11080 and 11095?

Greatest common factor (GCF) of 11080 and 11095 is 5.

GCF(11080,11095) = 5

We will now calculate the prime factors of 11080 and 11095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11080 and 11095.

How to find the GCF of 11080 and 11095?

We will first find the prime factorization of 11080 and 11095. After we will calculate the factors of 11080 and 11095 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 11095

Prime factors of 11095 are 5, 7, 317. Prime factorization of 11095 in exponential form is:

11095 = 5¹ × 7¹ × 317¹

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 11095

List of positive integer factors of 11095 that divides 11080 without a remainder.

1, 5, 7, 35, 317, 1585, 2219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11080 and 11095. The biggest common factor number is the GCF number.
So the greatest common factor 11080 and 11095 is 5.

Also check out the Least Common Multiple of 11080 and 11095