Greatest Common Factor of 1120 and 1128

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, 1128 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1120 and 1128 is 8.

GCF(1120,1128) = 8

GCF of 1120 and 1128

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

GCF of:
and

Greatest Common Factor of 1120 and 1128

GCF of 1120 and 1128 is 8

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 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2,3,47. Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

∴ So by taking common prime factors GCF of 1120 and 1128 is 8

Greatest Common Factor of 1120 and 1128 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 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128

Greatest Common Factor

We found the factors and prime factorization of 1120 and 1128. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1128 is 8.

Also check out the Least Common Multiple of 1120 and 1128

Properties of GCF 1120 and 1128

(i) The GCF of 1120 and 1128 is associative

GCF of 1120 and 1128 = GCF of 1128 and 1120

Related Greatest Common Factor of 1120

Related Greatest Common Factor of 1128

Frequently Asked Questions on GCF of 1120 and 1128

1. What is the GCF of 1120 and 1128?

Answer: GCF of 1120 and 1128 is 8.

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 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

4. How to Find the GCF of 1120 and 1128?

Answer:

Greatest Common Factor of 1120 and 1128 = 8

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 1128

1128 = 2 x 2 x 2 x 3 x 47

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1120 and 1128 is 8