Greatest Common Factor of 1120 and 1123

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 1120, 1123 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1120 and 1123 is 1.

GCF(1120,1123) = 1

GCF of 1120 and 1123

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

GCF of:
and

Greatest Common Factor of 1120 and 1123

GCF of 1120 and 1123 is 1

Prime Factorization of 1120


2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 1120 are 2,5,7. Prime factorization of 1120 in exponential form is:

1120 = 25×51×71

Prime Factorization of 1123


1123 1123
1

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

1123 = 11231

∴ So by taking common prime factors GCF of 1120 and 1123 is 1

Greatest Common Factor of 1120 and 1123 by matching factors method

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120

Factors of 1123

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

1,1123

Greatest Common Factor

We found the factors and prime factorization of 1120 and 1123. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1123 is 1.

Also check out the Least Common Multiple of 1120 and 1123

Properties of GCF 1120 and 1123

(i) The GCF of 1120 and 1123 is associative

GCF of 1120 and 1123 = GCF of 1123 and 1120

Related Greatest Common Factor of 1120

Related Greatest Common Factor of 1123

Frequently Asked Questions on GCF of 1120 and 1123

1. What is the GCF of 1120 and 1123?

Answer: GCF of 1120 and 1123 is 1.

2. What are the Factors of 1120?

Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.

3. 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.

4. How to Find the GCF of 1120 and 1123?

Answer:

Greatest Common Factor of 1120 and 1123 = 1

Step 1: Find the prime factorization of 1120

1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 1123

1123 = 1123

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 1120 and 1123 is 1