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 8449, 8457 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8449 and 8457 is 1.
GCF(8449,8457) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8457
3 | 8457 |
2819 | 2819 |
1 |
Prime factors of 8457 are 3,2819. Prime factorization of 8457 in exponential form is:
8457 = 31×28191
∴ So by taking common prime factors GCF of 8449 and 8457 is 1
Factors of 8449
List of positive integer factors of 8449 that divides 8449 without a remainder.
1,7,17,71,119,497,1207,8449
Factors of 8457
List of positive integer factors of 8457 that divides 8457 without a remainder.
1,3,2819,8457
Greatest Common Factor
We found the factors and prime factorization of 8449 and 8457. The biggest common factor number is the GCF number.
So the greatest common factor 8449 and 8457 is 1.
Also check out the Least Common Multiple of 8449 and 8457
(i) The GCF of 8449 and 8457 is associative
GCF of 8449 and 8457 = GCF of 8457 and 8449
1. What is the GCF of 8449 and 8457?
Answer: GCF of 8449 and 8457 is 1.
2. 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.
3. What are the Factors of 8457?
Answer: Factors of 8457 are 1, 3, 2819, 8457. There are 4 integers that are factors of 8457. The greatest factor of 8457 is 8457.
4. How to Find the GCF of 8449 and 8457?
Answer:
Greatest Common Factor of 8449 and 8457 = 1
Step 1: Find the prime factorization of 8449
8449 = 7 x 17 x 71
Step 2: Find the prime factorization of 8457
8457 = 3 x 2819
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 8449 and 8457 is 1