Greatest Common Factor of 1120 and 1125

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, 1125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1120 and 1125 is 5.

GCF(1120,1125) = 5

GCF of 1120 and 1125

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

GCF of:
and

Greatest Common Factor of 1120 and 1125

GCF of 1120 and 1125 is 5

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 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

∴ So by taking common prime factors GCF of 1120 and 1125 is 5

Greatest Common Factor of 1120 and 1125 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 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,1125

Greatest Common Factor

We found the factors and prime factorization of 1120 and 1125. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1125 is 5.

Also check out the Least Common Multiple of 1120 and 1125

Properties of GCF 1120 and 1125

(i) The GCF of 1120 and 1125 is associative

GCF of 1120 and 1125 = GCF of 1125 and 1120

Related Greatest Common Factor of 1120

Related Greatest Common Factor of 1125

Frequently Asked Questions on GCF of 1120 and 1125

1. What is the GCF of 1120 and 1125?

Answer: GCF of 1120 and 1125 is 5.

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 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

4. How to Find the GCF of 1120 and 1125?

Answer:

Greatest Common Factor of 1120 and 1125 = 5

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 1125

1125 = 3 x 3 x 5 x 5 x 5

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1120 and 1125 is 5