Greatest Common Factor of 1100 and 1107

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, 1107 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1100 and 1107 is 1.

GCF(1100,1107) = 1

GCF of 1100 and 1107

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

GCF of:
and

Greatest Common Factor of 1100 and 1107

GCF of 1100 and 1107 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 1107


3 1107
3 369
3 123
41 41
1

Prime factors of 1107 are 3,41. Prime factorization of 1107 in exponential form is:

1107 = 33×411

∴ So by taking common prime factors GCF of 1100 and 1107 is 1

Greatest Common Factor of 1100 and 1107 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 1107

List of positive integer factors of 1107 that divides 1107 without a remainder.

1,3,9,27,41,123,369,1107

Greatest Common Factor

We found the factors and prime factorization of 1100 and 1107. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1107 is 1.

Also check out the Least Common Multiple of 1100 and 1107

Properties of GCF 1100 and 1107

(i) The GCF of 1100 and 1107 is associative

GCF of 1100 and 1107 = GCF of 1107 and 1100

Related Greatest Common Factor of 1100

Related Greatest Common Factor of 1107

Frequently Asked Questions on GCF of 1100 and 1107

1. What is the GCF of 1100 and 1107?

Answer: GCF of 1100 and 1107 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 1107?

Answer: Factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107. There are 8 integers that are factors of 1107. The greatest factor of 1107 is 1107.

4. How to Find the GCF of 1100 and 1107?

Answer:

Greatest Common Factor of 1100 and 1107 = 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 1107

1107 = 3 x 3 x 3 x 41

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 1107 is 1