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 1136, 1141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1136 and 1141 is 1.
GCF(1136,1141) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1136
2 | 1136 |
2 | 568 |
2 | 284 |
2 | 142 |
71 | 71 |
1 |
Prime factors of 1136 are 2,71. Prime factorization of 1136 in exponential form is:
1136 = 24×711
Prime Factorization of 1141
7 | 1141 |
163 | 163 |
1 |
Prime factors of 1141 are 7,163. Prime factorization of 1141 in exponential form is:
1141 = 71×1631
∴ So by taking common prime factors GCF of 1136 and 1141 is 1
Factors of 1136
List of positive integer factors of 1136 that divides 1136 without a remainder.
1,2,4,8,16,71,142,284,568,1136
Factors of 1141
List of positive integer factors of 1141 that divides 1141 without a remainder.
1,7,163,1141
Greatest Common Factor
We found the factors and prime factorization of 1136 and 1141. The biggest common factor number is the GCF number.
So the greatest common factor 1136 and 1141 is 1.
Also check out the Least Common Multiple of 1136 and 1141
(i) The GCF of 1136 and 1141 is associative
GCF of 1136 and 1141 = GCF of 1141 and 1136
1. What is the GCF of 1136 and 1141?
Answer: GCF of 1136 and 1141 is 1.
2. What are the Factors of 1136?
Answer: Factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. There are 10 integers that are factors of 1136. The greatest factor of 1136 is 1136.
3. What are the Factors of 1141?
Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.
4. How to Find the GCF of 1136 and 1141?
Answer:
Greatest Common Factor of 1136 and 1141 = 1
Step 1: Find the prime factorization of 1136
1136 = 2 x 2 x 2 x 2 x 71
Step 2: Find the prime factorization of 1141
1141 = 7 x 163
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 1136 and 1141 is 1