What is the Greatest Common Factor of 1138 and 1151?

Greatest common factor (GCF) of 1138 and 1151 is 1.

GCF(1138,1151) = 1

We will now calculate the prime factors of 1138 and 1151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1138 and 1151.

How to find the GCF of 1138 and 1151?

We will first find the prime factorization of 1138 and 1151. After we will calculate the factors of 1138 and 1151 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 1151

Prime factors of 1151 are 1151. Prime factorization of 1151 in exponential form is:

1151 = 1151¹

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 1151

List of positive integer factors of 1151 that divides 1138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1138 and 1151. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1151 is 1.

Also check out the Least Common Multiple of 1138 and 1151