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, 1159 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1152 and 1159 is 1.
GCF(1152,1159) = 1
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 1159
19 | 1159 |
61 | 61 |
1 |
Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:
1159 = 191×611
∴ So by taking common prime factors GCF of 1152 and 1159 is 1
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 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
Greatest Common Factor
We found the factors and prime factorization of 1152 and 1159. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1159 is 1.
Also check out the Least Common Multiple of 1152 and 1159
(i) The GCF of 1152 and 1159 is associative
GCF of 1152 and 1159 = GCF of 1159 and 1152
1. What is the GCF of 1152 and 1159?
Answer: GCF of 1152 and 1159 is 1.
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 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.
4. How to Find the GCF of 1152 and 1159?
Answer:
Greatest Common Factor of 1152 and 1159 = 1
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 1159
1159 = 19 x 61
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 1152 and 1159 is 1