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 1150, 1152 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1150 and 1152 is 2.
GCF(1150,1152) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1150
2 | 1150 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 1150 are 2,5,23. Prime factorization of 1150 in exponential form is:
1150 = 21×52×231
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
∴ So by taking common prime factors GCF of 1150 and 1152 is 2
Factors of 1150
List of positive integer factors of 1150 that divides 1150 without a remainder.
1,2,5,10,23,25,46,50,115,230,575,1150
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
Greatest Common Factor
We found the factors and prime factorization of 1150 and 1152. The biggest common factor number is the GCF number.
So the greatest common factor 1150 and 1152 is 2.
Also check out the Least Common Multiple of 1150 and 1152
(i) The GCF of 1150 and 1152 is associative
GCF of 1150 and 1152 = GCF of 1152 and 1150
1. What is the GCF of 1150 and 1152?
Answer: GCF of 1150 and 1152 is 2.
2. What are the Factors of 1150?
Answer: Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. There are 12 integers that are factors of 1150. The greatest factor of 1150 is 1150.
3. 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.
4. How to Find the GCF of 1150 and 1152?
Answer:
Greatest Common Factor of 1150 and 1152 = 2
Step 1: Find the prime factorization of 1150
1150 = 2 x 5 x 5 x 23
Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1150 and 1152 is 2