Greatest Common Factor of 1134 and 1141
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 1134, 1141 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1134 and 1141 is 7.
GCF(1134,1141) = 7
GCF of 1134 and 1141
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 1134 and 1141 by prime factorization method
- Greatest Common Factor of 1134 and 1141 by matching factors method
GCF of 1134 and 1141 is 7
Prime Factorization of 1134
| 2 | 1134 |
| 3 | 567 |
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 1134 are 2,3,7. Prime factorization of 1134 in exponential form is:
1134 = 21×34×71
Prime Factorization of 1141
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 1141 are 7,163. Prime factorization of 1141 in exponential form is:
1141 = 71×1631
∴ So by taking common prime factors GCF of 1134 and 1141 is 7
Greatest Common Factor of 1134 and 1141 by matching factors method
Factors of 1134
List of positive integer factors of 1134 that divides 1134 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Factors of 1141
List of positive integer factors of 1141 that divides 1141 without a remainder.
1,7,163,1141
Greatest Common Factor
We found the factors and prime factorization of 1134 and 1141. The biggest common factor number is the GCF number.
So the greatest common factor 1134 and 1141 is 7.
Also check out the Least Common Multiple of 1134 and 1141
Properties of GCF 1134 and 1141
(i) The GCF of 1134 and 1141 is associative
GCF of 1134 and 1141 = GCF of 1141 and 1134
Related Greatest Common Factor of 1134
Related Greatest Common Factor of 1141
Frequently Asked Questions on GCF of 1134 and 1141
1. What is the GCF of 1134 and 1141?
Answer: GCF of 1134 and 1141 is 7.
2. What are the Factors of 1134?
Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.
3. What are the Factors of 1141?
Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.
4. How to Find the GCF of 1134 and 1141?
Answer:
Greatest Common Factor of 1134 and 1141 = 7
Step 1: Find the prime factorization of 1134
1134 = 2 x 3 x 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 1141
1141 = 7 x 163
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 1134 and 1141 is 7
