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 8444, 8449 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8444 and 8449 is 1.
GCF(8444,8449) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8444
2 | 8444 |
2 | 4222 |
2111 | 2111 |
1 |
Prime factors of 8444 are 2,2111. Prime factorization of 8444 in exponential form is:
8444 = 22×21111
Prime Factorization of 8449
7 | 8449 |
17 | 1207 |
71 | 71 |
1 |
Prime factors of 8449 are 7,17,71. Prime factorization of 8449 in exponential form is:
8449 = 71×171×711
∴ So by taking common prime factors GCF of 8444 and 8449 is 1
Factors of 8444
List of positive integer factors of 8444 that divides 8444 without a remainder.
1,2,4,2111,4222,8444
Factors of 8449
List of positive integer factors of 8449 that divides 8449 without a remainder.
1,7,17,71,119,497,1207,8449
Greatest Common Factor
We found the factors and prime factorization of 8444 and 8449. The biggest common factor number is the GCF number.
So the greatest common factor 8444 and 8449 is 1.
Also check out the Least Common Multiple of 8444 and 8449
(i) The GCF of 8444 and 8449 is associative
GCF of 8444 and 8449 = GCF of 8449 and 8444
1. What is the GCF of 8444 and 8449?
Answer: GCF of 8444 and 8449 is 1.
2. What are the Factors of 8444?
Answer: Factors of 8444 are 1, 2, 4, 2111, 4222, 8444. There are 6 integers that are factors of 8444. The greatest factor of 8444 is 8444.
3. What are the Factors of 8449?
Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.
4. How to Find the GCF of 8444 and 8449?
Answer:
Greatest Common Factor of 8444 and 8449 = 1
Step 1: Find the prime factorization of 8444
8444 = 2 x 2 x 2111
Step 2: Find the prime factorization of 8449
8449 = 7 x 17 x 71
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 8444 and 8449 is 1