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 12827, 12831 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12827 and 12831 is 1.
GCF(12827,12831) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12827
101 | 12827 |
127 | 127 |
1 |
Prime factors of 12827 are 101,127. Prime factorization of 12827 in exponential form is:
12827 = 1011×1271
Prime Factorization of 12831
3 | 12831 |
7 | 4277 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 12831 are 3,7,13,47. Prime factorization of 12831 in exponential form is:
12831 = 31×71×131×471
∴ So by taking common prime factors GCF of 12827 and 12831 is 1
Factors of 12827
List of positive integer factors of 12827 that divides 12827 without a remainder.
1,101,127,12827
Factors of 12831
List of positive integer factors of 12831 that divides 12831 without a remainder.
1,3,7,13,21,39,47,91,141,273,329,611,987,1833,4277,12831
Greatest Common Factor
We found the factors and prime factorization of 12827 and 12831. The biggest common factor number is the GCF number.
So the greatest common factor 12827 and 12831 is 1.
Also check out the Least Common Multiple of 12827 and 12831
(i) The GCF of 12827 and 12831 is associative
GCF of 12827 and 12831 = GCF of 12831 and 12827
1. What is the GCF of 12827 and 12831?
Answer: GCF of 12827 and 12831 is 1.
2. What are the Factors of 12827?
Answer: Factors of 12827 are 1, 101, 127, 12827. There are 4 integers that are factors of 12827. The greatest factor of 12827 is 12827.
3. What are the Factors of 12831?
Answer: Factors of 12831 are 1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831. There are 16 integers that are factors of 12831. The greatest factor of 12831 is 12831.
4. How to Find the GCF of 12827 and 12831?
Answer:
Greatest Common Factor of 12827 and 12831 = 1
Step 1: Find the prime factorization of 12827
12827 = 101 x 127
Step 2: Find the prime factorization of 12831
12831 = 3 x 7 x 13 x 47
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 12827 and 12831 is 1