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, 1168 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1160 and 1168 is 8.
GCF(1160,1168) = 8
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 1168
2 | 1168 |
2 | 584 |
2 | 292 |
2 | 146 |
73 | 73 |
1 |
Prime factors of 1168 are 2,73. Prime factorization of 1168 in exponential form is:
1168 = 24×731
∴ So by taking common prime factors GCF of 1160 and 1168 is 8
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 1168
List of positive integer factors of 1168 that divides 1168 without a remainder.
1,2,4,8,16,73,146,292,584,1168
Greatest Common Factor
We found the factors and prime factorization of 1160 and 1168. The biggest common factor number is the GCF number.
So the greatest common factor 1160 and 1168 is 8.
Also check out the Least Common Multiple of 1160 and 1168
(i) The GCF of 1160 and 1168 is associative
GCF of 1160 and 1168 = GCF of 1168 and 1160
1. What is the GCF of 1160 and 1168?
Answer: GCF of 1160 and 1168 is 8.
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 1168?
Answer: Factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168. There are 10 integers that are factors of 1168. The greatest factor of 1168 is 1168.
4. How to Find the GCF of 1160 and 1168?
Answer:
Greatest Common Factor of 1160 and 1168 = 8
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 1168
1168 = 2 x 2 x 2 x 2 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 1160 and 1168 is 8