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 11067, 11071 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11067 and 11071 is 1.
GCF(11067,11071) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11067
3 | 11067 |
7 | 3689 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 11067 are 3,7,17,31. Prime factorization of 11067 in exponential form is:
11067 = 31×71×171×311
Prime Factorization of 11071
11071 | 11071 |
1 |
Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:
11071 = 110711
∴ So by taking common prime factors GCF of 11067 and 11071 is 1
Factors of 11067
List of positive integer factors of 11067 that divides 11067 without a remainder.
1,3,7,17,21,31,51,93,119,217,357,527,651,1581,3689,11067
Factors of 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1,11071
Greatest Common Factor
We found the factors and prime factorization of 11067 and 11071. The biggest common factor number is the GCF number.
So the greatest common factor 11067 and 11071 is 1.
Also check out the Least Common Multiple of 11067 and 11071
(i) The GCF of 11067 and 11071 is associative
GCF of 11067 and 11071 = GCF of 11071 and 11067
1. What is the GCF of 11067 and 11071?
Answer: GCF of 11067 and 11071 is 1.
2. What are the Factors of 11067?
Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.
3. What are the Factors of 11071?
Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.
4. How to Find the GCF of 11067 and 11071?
Answer:
Greatest Common Factor of 11067 and 11071 = 1
Step 1: Find the prime factorization of 11067
11067 = 3 x 7 x 17 x 31
Step 2: Find the prime factorization of 11071
11071 = 11071
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 11067 and 11071 is 1