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 11306, 11311 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11306 and 11311 is 1.
GCF(11306,11311) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11306
2 | 11306 |
5653 | 5653 |
1 |
Prime factors of 11306 are 2,5653. Prime factorization of 11306 in exponential form is:
11306 = 21×56531
Prime Factorization of 11311
11311 | 11311 |
1 |
Prime factors of 11311 are 11311. Prime factorization of 11311 in exponential form is:
11311 = 113111
∴ So by taking common prime factors GCF of 11306 and 11311 is 1
Factors of 11306
List of positive integer factors of 11306 that divides 11306 without a remainder.
1,2,5653,11306
Factors of 11311
List of positive integer factors of 11311 that divides 11311 without a remainder.
1,11311
Greatest Common Factor
We found the factors and prime factorization of 11306 and 11311. The biggest common factor number is the GCF number.
So the greatest common factor 11306 and 11311 is 1.
Also check out the Least Common Multiple of 11306 and 11311
(i) The GCF of 11306 and 11311 is associative
GCF of 11306 and 11311 = GCF of 11311 and 11306
1. What is the GCF of 11306 and 11311?
Answer: GCF of 11306 and 11311 is 1.
2. What are the Factors of 11306?
Answer: Factors of 11306 are 1, 2, 5653, 11306. There are 4 integers that are factors of 11306. The greatest factor of 11306 is 11306.
3. What are the Factors of 11311?
Answer: Factors of 11311 are 1, 11311. There are 2 integers that are factors of 11311. The greatest factor of 11311 is 11311.
4. How to Find the GCF of 11306 and 11311?
Answer:
Greatest Common Factor of 11306 and 11311 = 1
Step 1: Find the prime factorization of 11306
11306 = 2 x 5653
Step 2: Find the prime factorization of 11311
11311 = 11311
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 11306 and 11311 is 1