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 1132, 1140 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1132 and 1140 is 4.
GCF(1132,1140) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1132
2 | 1132 |
2 | 566 |
283 | 283 |
1 |
Prime factors of 1132 are 2,283. Prime factorization of 1132 in exponential form is:
1132 = 22×2831
Prime Factorization of 1140
2 | 1140 |
2 | 570 |
3 | 285 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 1140 are 2,3,5,19. Prime factorization of 1140 in exponential form is:
1140 = 22×31×51×191
∴ So by taking common prime factors GCF of 1132 and 1140 is 4
Factors of 1132
List of positive integer factors of 1132 that divides 1132 without a remainder.
1,2,4,283,566,1132
Factors of 1140
List of positive integer factors of 1140 that divides 1140 without a remainder.
1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Greatest Common Factor
We found the factors and prime factorization of 1132 and 1140. The biggest common factor number is the GCF number.
So the greatest common factor 1132 and 1140 is 4.
Also check out the Least Common Multiple of 1132 and 1140
(i) The GCF of 1132 and 1140 is associative
GCF of 1132 and 1140 = GCF of 1140 and 1132
1. What is the GCF of 1132 and 1140?
Answer: GCF of 1132 and 1140 is 4.
2. What are the Factors of 1132?
Answer: Factors of 1132 are 1, 2, 4, 283, 566, 1132. There are 6 integers that are factors of 1132. The greatest factor of 1132 is 1132.
3. What are the Factors of 1140?
Answer: Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. There are 24 integers that are factors of 1140. The greatest factor of 1140 is 1140.
4. How to Find the GCF of 1132 and 1140?
Answer:
Greatest Common Factor of 1132 and 1140 = 4
Step 1: Find the prime factorization of 1132
1132 = 2 x 2 x 283
Step 2: Find the prime factorization of 1140
1140 = 2 x 2 x 3 x 5 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1132 and 1140 is 4