Greatest Common Factor of 1100 and 1105

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 1100, 1105 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1100 and 1105 is 5.

GCF(1100,1105) = 5

GCF of 1100 and 1105

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

GCF of:
and

Greatest Common Factor of 1100 and 1105

GCF of 1100 and 1105 is 5

Prime Factorization of 1100


2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 1100 are 2,5,11. Prime factorization of 1100 in exponential form is:

1100 = 22×52×111

Prime Factorization of 1105


5 1105
13 221
17 17
1

Prime factors of 1105 are 5,13,17. Prime factorization of 1105 in exponential form is:

1105 = 51×131×171

∴ So by taking common prime factors GCF of 1100 and 1105 is 5

Greatest Common Factor of 1100 and 1105 by matching factors method

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors and prime factorization of 1100 and 1105. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1105 is 5.

Also check out the Least Common Multiple of 1100 and 1105

Properties of GCF 1100 and 1105

(i) The GCF of 1100 and 1105 is associative

GCF of 1100 and 1105 = GCF of 1105 and 1100

Related Greatest Common Factor of 1100

Related Greatest Common Factor of 1105

Frequently Asked Questions on GCF of 1100 and 1105

1. What is the GCF of 1100 and 1105?

Answer: GCF of 1100 and 1105 is 5.

2. What are the Factors of 1100?

Answer: Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. There are 18 integers that are factors of 1100. The greatest factor of 1100 is 1100.

3. What are the Factors of 1105?

Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.

4. How to Find the GCF of 1100 and 1105?

Answer:

Greatest Common Factor of 1100 and 1105 = 5

Step 1: Find the prime factorization of 1100

1100 = 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 1105

1105 = 5 x 13 x 17

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 1100 and 1105 is 5