Greatest Common Factor of 1092 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 1092, 1100 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1092 and 1100 is 4.

GCF(1092,1100) = 4

GCF of 1092 and 1100

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

GCF of:
and

Greatest Common Factor of 1092 and 1100

GCF of 1092 and 1100 is 4

Prime Factorization of 1092


2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 1092 are 2,3,7,13. Prime factorization of 1092 in exponential form is:

1092 = 22×31×71×131

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 1092 and 1100 is 4

Greatest Common Factor of 1092 and 1100 by matching factors method

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

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 1092 and 1100. The biggest common factor number is the GCF number.
So the greatest common factor 1092 and 1100 is 4.

Also check out the Least Common Multiple of 1092 and 1100

Properties of GCF 1092 and 1100

(i) The GCF of 1092 and 1100 is associative

GCF of 1092 and 1100 = GCF of 1100 and 1092

Related Greatest Common Factor of 1092

Related Greatest Common Factor of 1100

Frequently Asked Questions on GCF of 1092 and 1100

1. What is the GCF of 1092 and 1100?

Answer: GCF of 1092 and 1100 is 4.

2. What are the Factors of 1092?

Answer: Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. There are 24 integers that are factors of 1092. The greatest factor of 1092 is 1092.

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 1092 and 1100?

Answer:

Greatest Common Factor of 1092 and 1100 = 4

Step 1: Find the prime factorization of 1092

1092 = 2 x 2 x 3 x 7 x 13

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 1092 and 1100 is 4