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 9138, 9145 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9138 and 9145 is 1.
GCF(9138,9145) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9138
2 | 9138 |
3 | 4569 |
1523 | 1523 |
1 |
Prime factors of 9138 are 2,3,1523. Prime factorization of 9138 in exponential form is:
9138 = 21×31×15231
Prime Factorization of 9145
5 | 9145 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 9145 are 5,31,59. Prime factorization of 9145 in exponential form is:
9145 = 51×311×591
∴ So by taking common prime factors GCF of 9138 and 9145 is 1
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Factors of 9145
List of positive integer factors of 9145 that divides 9145 without a remainder.
1,5,31,59,155,295,1829,9145
Greatest Common Factor
We found the factors and prime factorization of 9138 and 9145. The biggest common factor number is the GCF number.
So the greatest common factor 9138 and 9145 is 1.
Also check out the Least Common Multiple of 9138 and 9145
(i) The GCF of 9138 and 9145 is associative
GCF of 9138 and 9145 = GCF of 9145 and 9138
1. What is the GCF of 9138 and 9145?
Answer: GCF of 9138 and 9145 is 1.
2. What are the Factors of 9138?
Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.
3. What are the Factors of 9145?
Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.
4. How to Find the GCF of 9138 and 9145?
Answer:
Greatest Common Factor of 9138 and 9145 = 1
Step 1: Find the prime factorization of 9138
9138 = 2 x 3 x 1523
Step 2: Find the prime factorization of 9145
9145 = 5 x 31 x 59
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 9138 and 9145 is 1