Greatest Common Factor of 1116 and 1120

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 1116, 1120 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1116 and 1120 is 4.

GCF(1116,1120) = 4

GCF of 1116 and 1120

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

GCF of:
and

Greatest Common Factor of 1116 and 1120

GCF of 1116 and 1120 is 4

Prime Factorization of 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2,3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

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

∴ So by taking common prime factors GCF of 1116 and 1120 is 4

Greatest Common Factor of 1116 and 1120 by matching factors method

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

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

Greatest Common Factor

We found the factors and prime factorization of 1116 and 1120. The biggest common factor number is the GCF number.
So the greatest common factor 1116 and 1120 is 4.

Also check out the Least Common Multiple of 1116 and 1120

Properties of GCF 1116 and 1120

(i) The GCF of 1116 and 1120 is associative

GCF of 1116 and 1120 = GCF of 1120 and 1116

Related Greatest Common Factor of 1116

Related Greatest Common Factor of 1120

Frequently Asked Questions on GCF of 1116 and 1120

1. What is the GCF of 1116 and 1120?

Answer: GCF of 1116 and 1120 is 4.

2. What are the Factors of 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

3. 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.

4. How to Find the GCF of 1116 and 1120?

Answer:

Greatest Common Factor of 1116 and 1120 = 4

Step 1: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 1120

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1116 and 1120 is 4