What is the Greatest Common Factor of 11109 and 11114?

Greatest common factor (GCF) of 11109 and 11114 is 1.

GCF(11109,11114) = 1

We will now calculate the prime factors of 11109 and 11114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11109 and 11114.

How to find the GCF of 11109 and 11114?

We will first find the prime factorization of 11109 and 11114. After we will calculate the factors of 11109 and 11114 and find the biggest common factor number .

Step-1: Prime Factorization of 11109

Prime factors of 11109 are 3, 7, 23. Prime factorization of 11109 in exponential form is:

11109 = 3¹ × 7¹ × 23²

Step-2: Prime Factorization of 11114

Prime factors of 11114 are 2, 5557. Prime factorization of 11114 in exponential form is:

11114 = 2¹ × 5557¹

Step-3: Factors of 11109

List of positive integer factors of 11109 that divides 11109 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483, 529, 1587, 3703

Step-4: Factors of 11114

List of positive integer factors of 11114 that divides 11109 without a remainder.

1, 2, 5557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11109 and 11114. The biggest common factor number is the GCF number.
So the greatest common factor 11109 and 11114 is 1.

Also check out the Least Common Multiple of 11109 and 11114