Greatest Common Factor of 1120 and 1122

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, 1122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1120 and 1122 is 2.

GCF(1120,1122) = 2

GCF of 1120 and 1122

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

GCF of:
and

Greatest Common Factor of 1120 and 1122

GCF of 1120 and 1122 is 2

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 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2,3,11,17. Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

∴ So by taking common prime factors GCF of 1120 and 1122 is 2

Greatest Common Factor of 1120 and 1122 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 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122

Greatest Common Factor

We found the factors and prime factorization of 1120 and 1122. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1122 is 2.

Also check out the Least Common Multiple of 1120 and 1122

Properties of GCF 1120 and 1122

(i) The GCF of 1120 and 1122 is associative

GCF of 1120 and 1122 = GCF of 1122 and 1120

Related Greatest Common Factor of 1120

Related Greatest Common Factor of 1122

Frequently Asked Questions on GCF of 1120 and 1122

1. What is the GCF of 1120 and 1122?

Answer: GCF of 1120 and 1122 is 2.

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 1122?

Answer: Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. There are 16 integers that are factors of 1122. The greatest factor of 1122 is 1122.

4. How to Find the GCF of 1120 and 1122?

Answer:

Greatest Common Factor of 1120 and 1122 = 2

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 1122

1122 = 2 x 3 x 11 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1120 and 1122 is 2