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 8044, 8049 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8044 and 8049 is 1.
GCF(8044,8049) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8044
2 | 8044 |
2 | 4022 |
2011 | 2011 |
1 |
Prime factors of 8044 are 2,2011. Prime factorization of 8044 in exponential form is:
8044 = 22×20111
Prime Factorization of 8049
3 | 8049 |
2683 | 2683 |
1 |
Prime factors of 8049 are 3,2683. Prime factorization of 8049 in exponential form is:
8049 = 31×26831
∴ So by taking common prime factors GCF of 8044 and 8049 is 1
Factors of 8044
List of positive integer factors of 8044 that divides 8044 without a remainder.
1,2,4,2011,4022,8044
Factors of 8049
List of positive integer factors of 8049 that divides 8049 without a remainder.
1,3,2683,8049
Greatest Common Factor
We found the factors and prime factorization of 8044 and 8049. The biggest common factor number is the GCF number.
So the greatest common factor 8044 and 8049 is 1.
Also check out the Least Common Multiple of 8044 and 8049
(i) The GCF of 8044 and 8049 is associative
GCF of 8044 and 8049 = GCF of 8049 and 8044
1. What is the GCF of 8044 and 8049?
Answer: GCF of 8044 and 8049 is 1.
2. What are the Factors of 8044?
Answer: Factors of 8044 are 1, 2, 4, 2011, 4022, 8044. There are 6 integers that are factors of 8044. The greatest factor of 8044 is 8044.
3. What are the Factors of 8049?
Answer: Factors of 8049 are 1, 3, 2683, 8049. There are 4 integers that are factors of 8049. The greatest factor of 8049 is 8049.
4. How to Find the GCF of 8044 and 8049?
Answer:
Greatest Common Factor of 8044 and 8049 = 1
Step 1: Find the prime factorization of 8044
8044 = 2 x 2 x 2011
Step 2: Find the prime factorization of 8049
8049 = 3 x 2683
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 8044 and 8049 is 1