Greatest Common Factor of 1095 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 1095, 1100 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1095 and 1100 is 5.

GCF(1095,1100) = 5

GCF of 1095 and 1100

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

GCF of:
and

Greatest Common Factor of 1095 and 1100

GCF of 1095 and 1100 is 5

Prime Factorization of 1095


3 1095
5 365
73 73
1

Prime factors of 1095 are 3,5,73. Prime factorization of 1095 in exponential form is:

1095 = 31×51×731

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 1095 and 1100 is 5

Greatest Common Factor of 1095 and 1100 by matching factors method

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

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 1095 and 1100. The biggest common factor number is the GCF number.
So the greatest common factor 1095 and 1100 is 5.

Also check out the Least Common Multiple of 1095 and 1100

Properties of GCF 1095 and 1100

(i) The GCF of 1095 and 1100 is associative

GCF of 1095 and 1100 = GCF of 1100 and 1095

Related Greatest Common Factor of 1095

Related Greatest Common Factor of 1100

Frequently Asked Questions on GCF of 1095 and 1100

1. What is the GCF of 1095 and 1100?

Answer: GCF of 1095 and 1100 is 5.

2. What are the Factors of 1095?

Answer: Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. There are 8 integers that are factors of 1095. The greatest factor of 1095 is 1095.

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 1095 and 1100?

Answer:

Greatest Common Factor of 1095 and 1100 = 5

Step 1: Find the prime factorization of 1095

1095 = 3 x 5 x 73

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 = 5

Step 4: Therefore, the greatest common factor of 1095 and 1100 is 5