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 1152, 1160 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1152 and 1160 is 8.
GCF(1152,1160) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1152
2 | 1152 |
2 | 576 |
2 | 288 |
2 | 144 |
2 | 72 |
2 | 36 |
2 | 18 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 1152 are 2,3. Prime factorization of 1152 in exponential form is:
1152 = 27×32
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 1152 and 1160 is 8
Factors of 1152
List of positive integer factors of 1152 that divides 1152 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
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 1152 and 1160. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1160 is 8.
Also check out the Least Common Multiple of 1152 and 1160
(i) The GCF of 1152 and 1160 is associative
GCF of 1152 and 1160 = GCF of 1160 and 1152
1. What is the GCF of 1152 and 1160?
Answer: GCF of 1152 and 1160 is 8.
2. What are the Factors of 1152?
Answer: Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. There are 24 integers that are factors of 1152. The greatest factor of 1152 is 1152.
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 1152 and 1160?
Answer:
Greatest Common Factor of 1152 and 1160 = 8
Step 1: Find the prime factorization of 1152
1152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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 = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 1152 and 1160 is 8