Greatest Common Factor of 1123 and 1131

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 1123, 1131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1123 and 1131 is 1.

GCF(1123,1131) = 1

GCF of 1123 and 1131

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

GCF of:
and

Greatest Common Factor of 1123 and 1131

GCF of 1123 and 1131 is 1

Prime Factorization of 1123


1123 1123
1

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

Prime Factorization of 1131


3 1131
13 377
29 29
1

Prime factors of 1131 are 3.Prime factorization of 1131 in exponential form is:

1131 = 31×131×291

∴ So by taking common prime factors GCF of 1123 and 1131 is 1

Greatest Common Factor of 1123 and 1131 by matching factors method

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1,1123

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Greatest Common Factor

We found the factors and prime factorization of 1123 and 1131. The biggest common factor number is the GCF number.
So the greatest common factor 1123 and 1131 is 1.

Also check out the Least Common Multiple of 1123 and 1131

Properties of GCF 1123 and 1131

(i) The GCF of 1123 and 1131 is associative

GCF of 1123 and 1131 = GCF of 1131 and 1123

Related Greatest Common Factor of 1123

Related Greatest Common Factor of 1131

Frequently Asked Questions on GCF of 1123 and 1131

1. What is the GCF of 1123 and 1131?

Answer: GCF of 1123 and 1131 is 1.

2. What are the Factors of 1123?

Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.

3. What are the Factors of 1131?

Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.

4. How to Find the GCF of 1123 and 1131?

Answer:

Greatest Common Factor of 1123 and 1131 = 1

Step 1: Find the prime factorization of 1123

1123 = 1123

Step 2: Find the prime factorization of 1131

1131 = 3 x 13 x 29

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 1123 and 1131 is 1