What is the Greatest Common Factor of 1138 and 1153?

Greatest common factor (GCF) of 1138 and 1153 is 1.

GCF(1138,1153) = 1

We will now calculate the prime factors of 1138 and 1153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1138 and 1153.

How to find the GCF of 1138 and 1153?

We will first find the prime factorization of 1138 and 1153. After we will calculate the factors of 1138 and 1153 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 1153

Prime factors of 1153 are 1153. Prime factorization of 1153 in exponential form is:

1153 = 1153¹

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 1153

List of positive integer factors of 1153 that divides 1138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1138 and 1153. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1153 is 1.

Also check out the Least Common Multiple of 1138 and 1153