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 9134, 9141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9134 and 9141 is 1.
GCF(9134,9141) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9134
2 | 9134 |
4567 | 4567 |
1 |
Prime factors of 9134 are 2,4567. Prime factorization of 9134 in exponential form is:
9134 = 21×45671
Prime Factorization of 9141
3 | 9141 |
11 | 3047 |
277 | 277 |
1 |
Prime factors of 9141 are 3,11,277. Prime factorization of 9141 in exponential form is:
9141 = 31×111×2771
∴ So by taking common prime factors GCF of 9134 and 9141 is 1
Factors of 9134
List of positive integer factors of 9134 that divides 9134 without a remainder.
1,2,4567,9134
Factors of 9141
List of positive integer factors of 9141 that divides 9141 without a remainder.
1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors and prime factorization of 9134 and 9141. The biggest common factor number is the GCF number.
So the greatest common factor 9134 and 9141 is 1.
Also check out the Least Common Multiple of 9134 and 9141
(i) The GCF of 9134 and 9141 is associative
GCF of 9134 and 9141 = GCF of 9141 and 9134
1. What is the GCF of 9134 and 9141?
Answer: GCF of 9134 and 9141 is 1.
2. What are the Factors of 9134?
Answer: Factors of 9134 are 1, 2, 4567, 9134. There are 4 integers that are factors of 9134. The greatest factor of 9134 is 9134.
3. What are the Factors of 9141?
Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.
4. How to Find the GCF of 9134 and 9141?
Answer:
Greatest Common Factor of 9134 and 9141 = 1
Step 1: Find the prime factorization of 9134
9134 = 2 x 4567
Step 2: Find the prime factorization of 9141
9141 = 3 x 11 x 277
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 9134 and 9141 is 1