What is the Greatest Common Factor of 1138 and 1145?

Greatest common factor (GCF) of 1138 and 1145 is 1.

GCF(1138,1145) = 1

We will now calculate the prime factors of 1138 and 1145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1138 and 1145.

How to find the GCF of 1138 and 1145?

We will first find the prime factorization of 1138 and 1145. After we will calculate the factors of 1138 and 1145 and find the biggest common factor number .

Step-1: Prime Factorization of 1138

Prime factors of 1138 are 2, 569. Prime factorization of 1138 in exponential form is:

1138 = 2¹ × 569¹

Step-2: Prime Factorization of 1145

Prime factors of 1145 are 5, 229. Prime factorization of 1145 in exponential form is:

1145 = 5¹ × 229¹

Step-3: Factors of 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1, 2, 569

Step-4: Factors of 1145

List of positive integer factors of 1145 that divides 1138 without a remainder.

1, 5, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1138 and 1145. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1145 is 1.

Also check out the Least Common Multiple of 1138 and 1145