Greatest Common Factor of 1099 and 1106

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 1099, 1106 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1099 and 1106 is 7.

GCF(1099,1106) = 7

GCF of 1099 and 1106

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

GCF of:
and

Greatest Common Factor of 1099 and 1106

GCF of 1099 and 1106 is 7

Prime Factorization of 1099


7 1099
157 157
1

Prime factors of 1099 are 7,157. Prime factorization of 1099 in exponential form is:

1099 = 71×1571

Prime Factorization of 1106


2 1106
7 553
79 79
1

Prime factors of 1106 are 2,7,79. Prime factorization of 1106 in exponential form is:

1106 = 21×71×791

∴ So by taking common prime factors GCF of 1099 and 1106 is 7

Greatest Common Factor of 1099 and 1106 by matching factors method

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1,7,157,1099

Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1,2,7,14,79,158,553,1106

Greatest Common Factor

We found the factors and prime factorization of 1099 and 1106. The biggest common factor number is the GCF number.
So the greatest common factor 1099 and 1106 is 7.

Also check out the Least Common Multiple of 1099 and 1106

Properties of GCF 1099 and 1106

(i) The GCF of 1099 and 1106 is associative

GCF of 1099 and 1106 = GCF of 1106 and 1099

Related Greatest Common Factor of 1099

Related Greatest Common Factor of 1106

Frequently Asked Questions on GCF of 1099 and 1106

1. What is the GCF of 1099 and 1106?

Answer: GCF of 1099 and 1106 is 7.

2. What are the Factors of 1099?

Answer: Factors of 1099 are 1, 7, 157, 1099. There are 4 integers that are factors of 1099. The greatest factor of 1099 is 1099.

3. What are the Factors of 1106?

Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.

4. How to Find the GCF of 1099 and 1106?

Answer:

Greatest Common Factor of 1099 and 1106 = 7

Step 1: Find the prime factorization of 1099

1099 = 7 x 157

Step 2: Find the prime factorization of 1106

1106 = 2 x 7 x 79

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1099 and 1106 is 7