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 9149, 9153 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9149 and 9153 is 1.
GCF(9149,9153) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9153
3 | 9153 |
3 | 3051 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:
9153 = 34×1131
∴ So by taking common prime factors GCF of 9149 and 9153 is 1
Factors of 9149
List of positive integer factors of 9149 that divides 9149 without a remainder.
1,7,1307,9149
Factors of 9153
List of positive integer factors of 9153 that divides 9153 without a remainder.
1,3,9,27,81,113,339,1017,3051,9153
Greatest Common Factor
We found the factors and prime factorization of 9149 and 9153. The biggest common factor number is the GCF number.
So the greatest common factor 9149 and 9153 is 1.
Also check out the Least Common Multiple of 9149 and 9153
(i) The GCF of 9149 and 9153 is associative
GCF of 9149 and 9153 = GCF of 9153 and 9149
1. What is the GCF of 9149 and 9153?
Answer: GCF of 9149 and 9153 is 1.
2. 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.
3. What are the Factors of 9153?
Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.
4. How to Find the GCF of 9149 and 9153?
Answer:
Greatest Common Factor of 9149 and 9153 = 1
Step 1: Find the prime factorization of 9149
9149 = 7 x 1307
Step 2: Find the prime factorization of 9153
9153 = 3 x 3 x 3 x 3 x 113
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 9149 and 9153 is 1