What is the Greatest Common Factor of 11080 and 11100?

Greatest common factor (GCF) of 11080 and 11100 is 20.

GCF(11080,11100) = 20

We will now calculate the prime factors of 11080 and 11100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11080 and 11100.

How to find the GCF of 11080 and 11100?

We will first find the prime factorization of 11080 and 11100. After we will calculate the factors of 11080 and 11100 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 11100

Prime factors of 11100 are 2, 3, 5, 37. Prime factorization of 11100 in exponential form is:

11100 = 2² × 3¹ × 5² × 37¹

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 11100

List of positive integer factors of 11100 that divides 11080 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74, 75, 100, 111, 148, 150, 185, 222, 300, 370, 444, 555, 740, 925, 1110, 1850, 2220, 2775, 3700, 5550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11080 and 11100. The biggest common factor number is the GCF number.
So the greatest common factor 11080 and 11100 is 20.

Also check out the Least Common Multiple of 11080 and 11100