What is the Greatest Common Factor of 1139 and 1156?

Greatest common factor (GCF) of 1139 and 1156 is 17.

GCF(1139,1156) = 17

We will now calculate the prime factors of 1139 and 1156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1139 and 1156.

How to find the GCF of 1139 and 1156?

We will first find the prime factorization of 1139 and 1156. After we will calculate the factors of 1139 and 1156 and find the biggest common factor number .

Step-1: Prime Factorization of 1139

Prime factors of 1139 are 17, 67. Prime factorization of 1139 in exponential form is:

1139 = 17¹ × 67¹

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 1139

List of positive integer factors of 1139 that divides 1139 without a remainder.

1, 17, 67

Step-4: Factors of 1156

List of positive integer factors of 1156 that divides 1139 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 1139 and 1156. The biggest common factor number is the GCF number.
So the greatest common factor 1139 and 1156 is 17.

Also check out the Least Common Multiple of 1139 and 1156