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, 1102 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1100 and 1102 is 2.
GCF(1100,1102) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1102
2 | 1102 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 1102 are 2,19,29. Prime factorization of 1102 in exponential form is:
1102 = 21×191×291
∴ So by taking common prime factors GCF of 1100 and 1102 is 2
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 1102
List of positive integer factors of 1102 that divides 1102 without a remainder.
1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors and prime factorization of 1100 and 1102. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1102 is 2.
Also check out the Least Common Multiple of 1100 and 1102
(i) The GCF of 1100 and 1102 is associative
GCF of 1100 and 1102 = GCF of 1102 and 1100
1. What is the GCF of 1100 and 1102?
Answer: GCF of 1100 and 1102 is 2.
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 1102?
Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.
4. How to Find the GCF of 1100 and 1102?
Answer:
Greatest Common Factor of 1100 and 1102 = 2
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 1102
1102 = 2 x 19 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1100 and 1102 is 2