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 11331, 11336 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11331 and 11336 is 1.
GCF(11331,11336) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11331
3 | 11331 |
3 | 3777 |
1259 | 1259 |
1 |
Prime factors of 11331 are 3,1259. Prime factorization of 11331 in exponential form is:
11331 = 32×12591
Prime Factorization of 11336
2 | 11336 |
2 | 5668 |
2 | 2834 |
13 | 1417 |
109 | 109 |
1 |
Prime factors of 11336 are 2,13,109. Prime factorization of 11336 in exponential form is:
11336 = 23×131×1091
∴ So by taking common prime factors GCF of 11331 and 11336 is 1
Factors of 11331
List of positive integer factors of 11331 that divides 11331 without a remainder.
1,3,9,1259,3777,11331
Factors of 11336
List of positive integer factors of 11336 that divides 11336 without a remainder.
1,2,4,8,13,26,52,104,109,218,436,872,1417,2834,5668,11336
Greatest Common Factor
We found the factors and prime factorization of 11331 and 11336. The biggest common factor number is the GCF number.
So the greatest common factor 11331 and 11336 is 1.
Also check out the Least Common Multiple of 11331 and 11336
(i) The GCF of 11331 and 11336 is associative
GCF of 11331 and 11336 = GCF of 11336 and 11331
1. What is the GCF of 11331 and 11336?
Answer: GCF of 11331 and 11336 is 1.
2. What are the Factors of 11331?
Answer: Factors of 11331 are 1, 3, 9, 1259, 3777, 11331. There are 6 integers that are factors of 11331. The greatest factor of 11331 is 11331.
3. What are the Factors of 11336?
Answer: Factors of 11336 are 1, 2, 4, 8, 13, 26, 52, 104, 109, 218, 436, 872, 1417, 2834, 5668, 11336. There are 16 integers that are factors of 11336. The greatest factor of 11336 is 11336.
4. How to Find the GCF of 11331 and 11336?
Answer:
Greatest Common Factor of 11331 and 11336 = 1
Step 1: Find the prime factorization of 11331
11331 = 3 x 3 x 1259
Step 2: Find the prime factorization of 11336
11336 = 2 x 2 x 2 x 13 x 109
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 11331 and 11336 is 1