What is the Greatest Common Factor of 11080 and 11092?

Greatest common factor (GCF) of 11080 and 11092 is 4.

GCF(11080,11092) = 4

We will now calculate the prime factors of 11080 and 11092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11080 and 11092.

How to find the GCF of 11080 and 11092?

We will first find the prime factorization of 11080 and 11092. After we will calculate the factors of 11080 and 11092 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 11092

Prime factors of 11092 are 2, 47, 59. Prime factorization of 11092 in exponential form is:

11092 = 2² × 47¹ × 59¹

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 11092

List of positive integer factors of 11092 that divides 11080 without a remainder.

1, 2, 4, 47, 59, 94, 118, 188, 236, 2773, 5546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11080 and 11092. The biggest common factor number is the GCF number.
So the greatest common factor 11080 and 11092 is 4.

Also check out the Least Common Multiple of 11080 and 11092