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 11427, 11432 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11427 and 11432 is 1.
GCF(11427,11432) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11427
3 | 11427 |
13 | 3809 |
293 | 293 |
1 |
Prime factors of 11427 are 3,13,293. Prime factorization of 11427 in exponential form is:
11427 = 31×131×2931
Prime Factorization of 11432
2 | 11432 |
2 | 5716 |
2 | 2858 |
1429 | 1429 |
1 |
Prime factors of 11432 are 2,1429. Prime factorization of 11432 in exponential form is:
11432 = 23×14291
∴ So by taking common prime factors GCF of 11427 and 11432 is 1
Factors of 11427
List of positive integer factors of 11427 that divides 11427 without a remainder.
1,3,13,39,293,879,3809,11427
Factors of 11432
List of positive integer factors of 11432 that divides 11432 without a remainder.
1,2,4,8,1429,2858,5716,11432
Greatest Common Factor
We found the factors and prime factorization of 11427 and 11432. The biggest common factor number is the GCF number.
So the greatest common factor 11427 and 11432 is 1.
Also check out the Least Common Multiple of 11427 and 11432
(i) The GCF of 11427 and 11432 is associative
GCF of 11427 and 11432 = GCF of 11432 and 11427
1. What is the GCF of 11427 and 11432?
Answer: GCF of 11427 and 11432 is 1.
2. What are the Factors of 11427?
Answer: Factors of 11427 are 1, 3, 13, 39, 293, 879, 3809, 11427. There are 8 integers that are factors of 11427. The greatest factor of 11427 is 11427.
3. What are the Factors of 11432?
Answer: Factors of 11432 are 1, 2, 4, 8, 1429, 2858, 5716, 11432. There are 8 integers that are factors of 11432. The greatest factor of 11432 is 11432.
4. How to Find the GCF of 11427 and 11432?
Answer:
Greatest Common Factor of 11427 and 11432 = 1
Step 1: Find the prime factorization of 11427
11427 = 3 x 13 x 293
Step 2: Find the prime factorization of 11432
11432 = 2 x 2 x 2 x 1429
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 11427 and 11432 is 1