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 1160, 1167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1160 and 1167 is 1.
GCF(1160,1167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1160
2 | 1160 |
2 | 580 |
2 | 290 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 1160 are 2,5,29. Prime factorization of 1160 in exponential form is:
1160 = 23×51×291
Prime Factorization of 1167
3 | 1167 |
389 | 389 |
1 |
Prime factors of 1167 are 3,389. Prime factorization of 1167 in exponential form is:
1167 = 31×3891
∴ So by taking common prime factors GCF of 1160 and 1167 is 1
Factors of 1160
List of positive integer factors of 1160 that divides 1160 without a remainder.
1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Factors of 1167
List of positive integer factors of 1167 that divides 1167 without a remainder.
1,3,389,1167
Greatest Common Factor
We found the factors and prime factorization of 1160 and 1167. The biggest common factor number is the GCF number.
So the greatest common factor 1160 and 1167 is 1.
Also check out the Least Common Multiple of 1160 and 1167
(i) The GCF of 1160 and 1167 is associative
GCF of 1160 and 1167 = GCF of 1167 and 1160
1. What is the GCF of 1160 and 1167?
Answer: GCF of 1160 and 1167 is 1.
2. What are the Factors of 1160?
Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.
3. What are the Factors of 1167?
Answer: Factors of 1167 are 1, 3, 389, 1167. There are 4 integers that are factors of 1167. The greatest factor of 1167 is 1167.
4. How to Find the GCF of 1160 and 1167?
Answer:
Greatest Common Factor of 1160 and 1167 = 1
Step 1: Find the prime factorization of 1160
1160 = 2 x 2 x 2 x 5 x 29
Step 2: Find the prime factorization of 1167
1167 = 3 x 389
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 1160 and 1167 is 1