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 8844, 8849 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8844 and 8849 is 1.
GCF(8844,8849) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8844
2 | 8844 |
2 | 4422 |
3 | 2211 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 8844 are 2,3,11,67. Prime factorization of 8844 in exponential form is:
8844 = 22×31×111×671
Prime Factorization of 8849
8849 | 8849 |
1 |
Prime factors of 8849 are 8849. Prime factorization of 8849 in exponential form is:
8849 = 88491
∴ So by taking common prime factors GCF of 8844 and 8849 is 1
Factors of 8844
List of positive integer factors of 8844 that divides 8844 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844
Factors of 8849
List of positive integer factors of 8849 that divides 8849 without a remainder.
1,8849
Greatest Common Factor
We found the factors and prime factorization of 8844 and 8849. The biggest common factor number is the GCF number.
So the greatest common factor 8844 and 8849 is 1.
Also check out the Least Common Multiple of 8844 and 8849
(i) The GCF of 8844 and 8849 is associative
GCF of 8844 and 8849 = GCF of 8849 and 8844
1. What is the GCF of 8844 and 8849?
Answer: GCF of 8844 and 8849 is 1.
2. What are the Factors of 8844?
Answer: Factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844. There are 24 integers that are factors of 8844. The greatest factor of 8844 is 8844.
3. What are the Factors of 8849?
Answer: Factors of 8849 are 1, 8849. There are 2 integers that are factors of 8849. The greatest factor of 8849 is 8849.
4. How to Find the GCF of 8844 and 8849?
Answer:
Greatest Common Factor of 8844 and 8849 = 1
Step 1: Find the prime factorization of 8844
8844 = 2 x 2 x 3 x 11 x 67
Step 2: Find the prime factorization of 8849
8849 = 8849
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 8844 and 8849 is 1