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 43043, 43044 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 43043 and 43044 is 1.
GCF(43043,43044) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 43043
7 | 43043 |
11 | 6149 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 43043 are 7,11,13,43. Prime factorization of 43043 in exponential form is:
43043 = 71×111×131×431
Prime Factorization of 43044
2 | 43044 |
2 | 21522 |
3 | 10761 |
17 | 3587 |
211 | 211 |
1 |
Prime factors of 43044 are 2,3,17,211. Prime factorization of 43044 in exponential form is:
43044 = 22×31×171×2111
∴ So by taking common prime factors GCF of 43043 and 43044 is 1
Factors of 43043
List of positive integer factors of 43043 that divides 43043 without a remainder.
1,7,11,13,43,77,91,143,301,473,559,1001,3311,3913,6149,43043
Factors of 43044
List of positive integer factors of 43044 that divides 43044 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204,211,422,633,844,1266,2532,3587,7174,10761,14348,21522,43044
Greatest Common Factor
We found the factors and prime factorization of 43043 and 43044. The biggest common factor number is the GCF number.
So the greatest common factor 43043 and 43044 is 1.
Also check out the Least Common Multiple of 43043 and 43044
(i) The GCF of 43043 and 43044 is associative
GCF of 43043 and 43044 = GCF of 43044 and 43043
1. What is the GCF of 43043 and 43044?
Answer: GCF of 43043 and 43044 is 1.
2. What are the Factors of 43043?
Answer: Factors of 43043 are 1, 7, 11, 13, 43, 77, 91, 143, 301, 473, 559, 1001, 3311, 3913, 6149, 43043. There are 16 integers that are factors of 43043. The greatest factor of 43043 is 43043.
3. What are the Factors of 43044?
Answer: Factors of 43044 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 211, 422, 633, 844, 1266, 2532, 3587, 7174, 10761, 14348, 21522, 43044. There are 24 integers that are factors of 43044. The greatest factor of 43044 is 43044.
4. How to Find the GCF of 43043 and 43044?
Answer:
Greatest Common Factor of 43043 and 43044 = 1
Step 1: Find the prime factorization of 43043
43043 = 7 x 11 x 13 x 43
Step 2: Find the prime factorization of 43044
43044 = 2 x 2 x 3 x 17 x 211
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 43043 and 43044 is 1