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 11042, 11044 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11042 and 11044 is 2.
GCF(11042,11044) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11042
2 | 11042 |
5521 | 5521 |
1 |
Prime factors of 11042 are 2,5521. Prime factorization of 11042 in exponential form is:
11042 = 21×55211
Prime Factorization of 11044
2 | 11044 |
2 | 5522 |
11 | 2761 |
251 | 251 |
1 |
Prime factors of 11044 are 2,11,251. Prime factorization of 11044 in exponential form is:
11044 = 22×111×2511
∴ So by taking common prime factors GCF of 11042 and 11044 is 2
Factors of 11042
List of positive integer factors of 11042 that divides 11042 without a remainder.
1,2,5521,11042
Factors of 11044
List of positive integer factors of 11044 that divides 11044 without a remainder.
1,2,4,11,22,44,251,502,1004,2761,5522,11044
Greatest Common Factor
We found the factors and prime factorization of 11042 and 11044. The biggest common factor number is the GCF number.
So the greatest common factor 11042 and 11044 is 2.
Also check out the Least Common Multiple of 11042 and 11044
(i) The GCF of 11042 and 11044 is associative
GCF of 11042 and 11044 = GCF of 11044 and 11042
1. What is the GCF of 11042 and 11044?
Answer: GCF of 11042 and 11044 is 2.
2. What are the Factors of 11042?
Answer: Factors of 11042 are 1, 2, 5521, 11042. There are 4 integers that are factors of 11042. The greatest factor of 11042 is 11042.
3. What are the Factors of 11044?
Answer: Factors of 11044 are 1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044. There are 12 integers that are factors of 11044. The greatest factor of 11044 is 11044.
4. How to Find the GCF of 11042 and 11044?
Answer:
Greatest Common Factor of 11042 and 11044 = 2
Step 1: Find the prime factorization of 11042
11042 = 2 x 5521
Step 2: Find the prime factorization of 11044
11044 = 2 x 2 x 11 x 251
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 11042 and 11044 is 2