Greatest Common Factor of 1100 and 1103

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, 1103 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1100 and 1103 is 1.

GCF(1100,1103) = 1

GCF of 1100 and 1103

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

GCF of:
and

Greatest Common Factor of 1100 and 1103

GCF of 1100 and 1103 is 1

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 1103


1103 1103
1

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 11031

∴ So by taking common prime factors GCF of 1100 and 1103 is 1

Greatest Common Factor of 1100 and 1103 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 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1,1103

Greatest Common Factor

We found the factors and prime factorization of 1100 and 1103. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1103 is 1.

Also check out the Least Common Multiple of 1100 and 1103

Properties of GCF 1100 and 1103

(i) The GCF of 1100 and 1103 is associative

GCF of 1100 and 1103 = GCF of 1103 and 1100

Related Greatest Common Factor of 1100

Related Greatest Common Factor of 1103

Frequently Asked Questions on GCF of 1100 and 1103

1. What is the GCF of 1100 and 1103?

Answer: GCF of 1100 and 1103 is 1.

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 1103?

Answer: Factors of 1103 are 1, 1103. There are 2 integers that are factors of 1103. The greatest factor of 1103 is 1103.

4. How to Find the GCF of 1100 and 1103?

Answer:

Greatest Common Factor of 1100 and 1103 = 1

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 1103

1103 = 1103

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1100 and 1103 is 1