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 2831, 2836 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2831 and 2836 is 1.
GCF(2831,2836) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2831
19 | 2831 |
149 | 149 |
1 |
Prime factors of 2831 are 19,149. Prime factorization of 2831 in exponential form is:
2831 = 191×1491
Prime Factorization of 2836
2 | 2836 |
2 | 1418 |
709 | 709 |
1 |
Prime factors of 2836 are 2,709. Prime factorization of 2836 in exponential form is:
2836 = 22×7091
∴ So by taking common prime factors GCF of 2831 and 2836 is 1
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1,19,149,2831
Factors of 2836
List of positive integer factors of 2836 that divides 2836 without a remainder.
1,2,4,709,1418,2836
Greatest Common Factor
We found the factors and prime factorization of 2831 and 2836. The biggest common factor number is the GCF number.
So the greatest common factor 2831 and 2836 is 1.
Also check out the Least Common Multiple of 2831 and 2836
(i) The GCF of 2831 and 2836 is associative
GCF of 2831 and 2836 = GCF of 2836 and 2831
1. What is the GCF of 2831 and 2836?
Answer: GCF of 2831 and 2836 is 1.
2. What are the Factors of 2831?
Answer: Factors of 2831 are 1, 19, 149, 2831. There are 4 integers that are factors of 2831. The greatest factor of 2831 is 2831.
3. What are the Factors of 2836?
Answer: Factors of 2836 are 1, 2, 4, 709, 1418, 2836. There are 6 integers that are factors of 2836. The greatest factor of 2836 is 2836.
4. How to Find the GCF of 2831 and 2836?
Answer:
Greatest Common Factor of 2831 and 2836 = 1
Step 1: Find the prime factorization of 2831
2831 = 19 x 149
Step 2: Find the prime factorization of 2836
2836 = 2 x 2 x 709
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 2831 and 2836 is 1