What is the Greatest Common Factor of 1138 and 1156?

Greatest common factor (GCF) of 1138 and 1156 is 2.

GCF(1138,1156) = 2

We will now calculate the prime factors of 1138 and 1156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1138 and 1156.

How to find the GCF of 1138 and 1156?

We will first find the prime factorization of 1138 and 1156. After we will calculate the factors of 1138 and 1156 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 1156

Prime factors of 1156 are 2, 17. Prime factorization of 1156 in exponential form is:

1156 = 2² × 17²

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 1156

List of positive integer factors of 1156 that divides 1138 without a remainder.

1, 2, 4, 17, 34, 68, 289, 578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1138 and 1156. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1156 is 2.

Also check out the Least Common Multiple of 1138 and 1156