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 1126, 1133 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1126 and 1133 is 1.
GCF(1126,1133) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1126
2 | 1126 |
563 | 563 |
1 |
Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:
1126 = 21×5631
Prime Factorization of 1133
11 | 1133 |
103 | 103 |
1 |
Prime factors of 1133 are 11,103. Prime factorization of 1133 in exponential form is:
1133 = 111×1031
∴ So by taking common prime factors GCF of 1126 and 1133 is 1
Factors of 1126
List of positive integer factors of 1126 that divides 1126 without a remainder.
1,2,563,1126
Factors of 1133
List of positive integer factors of 1133 that divides 1133 without a remainder.
1,11,103,1133
Greatest Common Factor
We found the factors and prime factorization of 1126 and 1133. The biggest common factor number is the GCF number.
So the greatest common factor 1126 and 1133 is 1.
Also check out the Least Common Multiple of 1126 and 1133
(i) The GCF of 1126 and 1133 is associative
GCF of 1126 and 1133 = GCF of 1133 and 1126
1. What is the GCF of 1126 and 1133?
Answer: GCF of 1126 and 1133 is 1.
2. What are the Factors of 1126?
Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.
3. What are the Factors of 1133?
Answer: Factors of 1133 are 1, 11, 103, 1133. There are 4 integers that are factors of 1133. The greatest factor of 1133 is 1133.
4. How to Find the GCF of 1126 and 1133?
Answer:
Greatest Common Factor of 1126 and 1133 = 1
Step 1: Find the prime factorization of 1126
1126 = 2 x 563
Step 2: Find the prime factorization of 1133
1133 = 11 x 103
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 1126 and 1133 is 1