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 9143, 9149 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9143 and 9149 is 1.
GCF(9143,9149) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9143
41 | 9143 |
223 | 223 |
1 |
Prime factors of 9143 are 41,223. Prime factorization of 9143 in exponential form is:
9143 = 411×2231
Prime Factorization of 9149
7 | 9149 |
1307 | 1307 |
1 |
Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:
9149 = 71×13071
∴ So by taking common prime factors GCF of 9143 and 9149 is 1
Factors of 9143
List of positive integer factors of 9143 that divides 9143 without a remainder.
1,41,223,9143
Factors of 9149
List of positive integer factors of 9149 that divides 9149 without a remainder.
1,7,1307,9149
Greatest Common Factor
We found the factors and prime factorization of 9143 and 9149. The biggest common factor number is the GCF number.
So the greatest common factor 9143 and 9149 is 1.
Also check out the Least Common Multiple of 9143 and 9149
(i) The GCF of 9143 and 9149 is associative
GCF of 9143 and 9149 = GCF of 9149 and 9143
1. What is the GCF of 9143 and 9149?
Answer: GCF of 9143 and 9149 is 1.
2. What are the Factors of 9143?
Answer: Factors of 9143 are 1, 41, 223, 9143. There are 4 integers that are factors of 9143. The greatest factor of 9143 is 9143.
3. What are the Factors of 9149?
Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.
4. How to Find the GCF of 9143 and 9149?
Answer:
Greatest Common Factor of 9143 and 9149 = 1
Step 1: Find the prime factorization of 9143
9143 = 41 x 223
Step 2: Find the prime factorization of 9149
9149 = 7 x 1307
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 9143 and 9149 is 1