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 1159, 1160 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1159 and 1160 is 1.
GCF(1159,1160) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1159
19 | 1159 |
61 | 61 |
1 |
Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:
1159 = 191×611
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
∴ So by taking common prime factors GCF of 1159 and 1160 is 1
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
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
Greatest Common Factor
We found the factors and prime factorization of 1159 and 1160. The biggest common factor number is the GCF number.
So the greatest common factor 1159 and 1160 is 1.
Also check out the Least Common Multiple of 1159 and 1160
(i) The GCF of 1159 and 1160 is associative
GCF of 1159 and 1160 = GCF of 1160 and 1159
1. What is the GCF of 1159 and 1160?
Answer: GCF of 1159 and 1160 is 1.
2. What are the Factors of 1159?
Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.
3. 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.
4. How to Find the GCF of 1159 and 1160?
Answer:
Greatest Common Factor of 1159 and 1160 = 1
Step 1: Find the prime factorization of 1159
1159 = 19 x 61
Step 2: Find the prime factorization of 1160
1160 = 2 x 2 x 2 x 5 x 29
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 1159 and 1160 is 1