Greatest Common Factor of 1095 and 1101

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, 1101 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1095 and 1101 is 3.

GCF(1095,1101) = 3

GCF of 1095 and 1101

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

GCF of:
and

Greatest Common Factor of 1095 and 1101

GCF of 1095 and 1101 is 3

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 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

∴ So by taking common prime factors GCF of 1095 and 1101 is 3

Greatest Common Factor of 1095 and 1101 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 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1,3,367,1101

Greatest Common Factor

We found the factors and prime factorization of 1095 and 1101. The biggest common factor number is the GCF number.
So the greatest common factor 1095 and 1101 is 3.

Also check out the Least Common Multiple of 1095 and 1101

Properties of GCF 1095 and 1101

(i) The GCF of 1095 and 1101 is associative

GCF of 1095 and 1101 = GCF of 1101 and 1095

Related Greatest Common Factor of 1095

Related Greatest Common Factor of 1101

Frequently Asked Questions on GCF of 1095 and 1101

1. What is the GCF of 1095 and 1101?

Answer: GCF of 1095 and 1101 is 3.

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 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

4. How to Find the GCF of 1095 and 1101?

Answer:

Greatest Common Factor of 1095 and 1101 = 3

Step 1: Find the prime factorization of 1095

1095 = 3 x 5 x 73

Step 2: Find the prime factorization of 1101

1101 = 3 x 367

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1095 and 1101 is 3