What is the Greatest Common Factor of 1103 and 1114?

Greatest common factor (GCF) of 1103 and 1114 is 1.

GCF(1103,1114) = 1

We will now calculate the prime factors of 1103 and 1114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1103 and 1114.

How to find the GCF of 1103 and 1114?

We will first find the prime factorization of 1103 and 1114. After we will calculate the factors of 1103 and 1114 and find the biggest common factor number .

Step-1: Prime Factorization of 1103

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 1103¹

Step-2: Prime Factorization of 1114

Prime factors of 1114 are 2, 557. Prime factorization of 1114 in exponential form is:

1114 = 2¹ × 557¹

Step-3: Factors of 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

Step-4: Factors of 1114

List of positive integer factors of 1114 that divides 1103 without a remainder.

1, 2, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1103 and 1114. The biggest common factor number is the GCF number.
So the greatest common factor 1103 and 1114 is 1.

Also check out the Least Common Multiple of 1103 and 1114