What is the Greatest Common Factor of 11075 and 11080?

Greatest common factor (GCF) of 11075 and 11080 is 5.

GCF(11075,11080) = 5

We will now calculate the prime factors of 11075 and 11080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11075 and 11080.

How to find the GCF of 11075 and 11080?

We will first find the prime factorization of 11075 and 11080. After we will calculate the factors of 11075 and 11080 and find the biggest common factor number .

Step-1: Prime Factorization of 11075

Prime factors of 11075 are 5, 443. Prime factorization of 11075 in exponential form is:

11075 = 5² × 443¹

Step-2: 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-3: Factors of 11075

List of positive integer factors of 11075 that divides 11075 without a remainder.

1, 5, 25, 443, 2215

Step-4: Factors of 11080

List of positive integer factors of 11080 that divides 11075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11075 and 11080. The biggest common factor number is the GCF number.
So the greatest common factor 11075 and 11080 is 5.

Also check out the Least Common Multiple of 11075 and 11080