Greatest Common Factor of 1093 and 1100

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 1093, 1100 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1093 and 1100 is 1.

GCF(1093,1100) = 1

GCF of 1093 and 1100

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

GCF of:
and

Greatest Common Factor of 1093 and 1100

GCF of 1093 and 1100 is 1

Prime Factorization of 1093


1093 1093
1

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

Prime Factorization of 1100


2 1100
2 550
5 275
5 55
11 11
1

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

1100 = 22×52×111

∴ So by taking common prime factors GCF of 1093 and 1100 is 1

Greatest Common Factor of 1093 and 1100 by matching factors method

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1,1093

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

Greatest Common Factor

We found the factors and prime factorization of 1093 and 1100. The biggest common factor number is the GCF number.
So the greatest common factor 1093 and 1100 is 1.

Also check out the Least Common Multiple of 1093 and 1100

Properties of GCF 1093 and 1100

(i) The GCF of 1093 and 1100 is associative

GCF of 1093 and 1100 = GCF of 1100 and 1093

Related Greatest Common Factor of 1093

Related Greatest Common Factor of 1100

Frequently Asked Questions on GCF of 1093 and 1100

1. What is the GCF of 1093 and 1100?

Answer: GCF of 1093 and 1100 is 1.

2. What are the Factors of 1093?

Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.

3. 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.

4. How to Find the GCF of 1093 and 1100?

Answer:

Greatest Common Factor of 1093 and 1100 = 1

Step 1: Find the prime factorization of 1093

1093 = 1093

Step 2: Find the prime factorization of 1100

1100 = 2 x 2 x 5 x 5 x 11

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 1093 and 1100 is 1