Greatest Common Factor of 1138 and 1139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1138, 1139 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1138 and 1139 is 1.

GCF(1138,1139) = 1

GCF of 1138 and 1139

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1138 and 1139

GCF of 1138 and 1139 is 1

Prime Factorization of 1138


2 1138
569 569
1

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

1138 = 21×5691

Prime Factorization of 1139


17 1139
67 67
1

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

1139 = 171×671

∴ So by taking common prime factors GCF of 1138 and 1139 is 1

Greatest Common Factor of 1138 and 1139 by matching factors method

Factors of 1138

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

1,2,569,1138

Factors of 1139

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

1,17,67,1139

Greatest Common Factor

We found the factors and prime factorization of 1138 and 1139. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1139 is 1.

Also check out the Least Common Multiple of 1138 and 1139

Properties of GCF 1138 and 1139

(i) The GCF of 1138 and 1139 is associative

GCF of 1138 and 1139 = GCF of 1139 and 1138

Related Greatest Common Factor of 1138

Related Greatest Common Factor of 1139

Frequently Asked Questions on GCF of 1138 and 1139

1. What is the GCF of 1138 and 1139?

Answer: GCF of 1138 and 1139 is 1.

2. What are the Factors of 1138?

Answer: Factors of 1138 are 1, 2, 569, 1138. There are 4 integers that are factors of 1138. The greatest factor of 1138 is 1138.

3. What are the Factors of 1139?

Answer: Factors of 1139 are 1, 17, 67, 1139. There are 4 integers that are factors of 1139. The greatest factor of 1139 is 1139.

4. How to Find the GCF of 1138 and 1139?

Answer:

Greatest Common Factor of 1138 and 1139 = 1

Step 1: Find the prime factorization of 1138

1138 = 2 x 569

Step 2: Find the prime factorization of 1139

1139 = 17 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1138 and 1139 is 1