What is the Greatest Common Factor of 11110 and 11121?

Greatest common factor (GCF) of 11110 and 11121 is 11.

GCF(11110,11121) = 11

We will now calculate the prime factors of 11110 and 11121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11110 and 11121.

How to find the GCF of 11110 and 11121?

We will first find the prime factorization of 11110 and 11121. After we will calculate the factors of 11110 and 11121 and find the biggest common factor number .

Step-1: Prime Factorization of 11110

Prime factors of 11110 are 2, 5, 11, 101. Prime factorization of 11110 in exponential form is:

11110 = 2¹ × 5¹ × 11¹ × 101¹

Step-2: Prime Factorization of 11121

Prime factors of 11121 are 3, 11, 337. Prime factorization of 11121 in exponential form is:

11121 = 3¹ × 11¹ × 337¹

Step-3: Factors of 11110

List of positive integer factors of 11110 that divides 11110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 101, 110, 202, 505, 1010, 1111, 2222, 5555

Step-4: Factors of 11121

List of positive integer factors of 11121 that divides 11110 without a remainder.

1, 3, 11, 33, 337, 1011, 3707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11110 and 11121. The biggest common factor number is the GCF number.
So the greatest common factor 11110 and 11121 is 11.

Also check out the Least Common Multiple of 11110 and 11121