Greatest Common Factor of 1094 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 1094, 1100 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1094 and 1100 is 2.

GCF(1094,1100) = 2

GCF of 1094 and 1100

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

GCF of:
and

Greatest Common Factor of 1094 and 1100

GCF of 1094 and 1100 is 2

Prime Factorization of 1094


2 1094
547 547
1

Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:

1094 = 21×5471

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

∴ So by taking common prime factors GCF of 1094 and 1100 is 2

Greatest Common Factor of 1094 and 1100 by matching factors method

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1,2,547,1094

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 1094 and 1100. The biggest common factor number is the GCF number.
So the greatest common factor 1094 and 1100 is 2.

Also check out the Least Common Multiple of 1094 and 1100

Properties of GCF 1094 and 1100

(i) The GCF of 1094 and 1100 is associative

GCF of 1094 and 1100 = GCF of 1100 and 1094

Related Greatest Common Factor of 1094

Related Greatest Common Factor of 1100

Frequently Asked Questions on GCF of 1094 and 1100

1. What is the GCF of 1094 and 1100?

Answer: GCF of 1094 and 1100 is 2.

2. What are the Factors of 1094?

Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.

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 1094 and 1100?

Answer:

Greatest Common Factor of 1094 and 1100 = 2

Step 1: Find the prime factorization of 1094

1094 = 2 x 547

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 = 2

Step 4: Therefore, the greatest common factor of 1094 and 1100 is 2