What is the Greatest Common Factor of 1118 and 1129?

Greatest common factor (GCF) of 1118 and 1129 is 1.

GCF(1118,1129) = 1

We will now calculate the prime factors of 1118 and 1129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1118 and 1129.

How to find the GCF of 1118 and 1129?

We will first find the prime factorization of 1118 and 1129. After we will calculate the factors of 1118 and 1129 and find the biggest common factor number .

Step-1: Prime Factorization of 1118

Prime factors of 1118 are 2, 13, 43. Prime factorization of 1118 in exponential form is:

1118 = 2¹ × 13¹ × 43¹

Step-2: Prime Factorization of 1129

Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:

1129 = 1129¹

Step-3: Factors of 1118

List of positive integer factors of 1118 that divides 1118 without a remainder.

1, 2, 13, 26, 43, 86, 559

Step-4: Factors of 1129

List of positive integer factors of 1129 that divides 1118 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1118 and 1129. The biggest common factor number is the GCF number.
So the greatest common factor 1118 and 1129 is 1.

Also check out the Least Common Multiple of 1118 and 1129