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 836, 843 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 836 and 843 is 1.
GCF(836,843) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 836
2 | 836 |
2 | 418 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 836 are 2,11,19. Prime factorization of 836 in exponential form is:
836 = 22×111×191
Prime Factorization of 843
3 | 843 |
281 | 281 |
1 |
Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:
843 = 31×2811
∴ So by taking common prime factors GCF of 836 and 843 is 1
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors and prime factorization of 836 and 843. The biggest common factor number is the GCF number.
So the greatest common factor 836 and 843 is 1.
Also check out the Least Common Multiple of 836 and 843
(i) The GCF of 836 and 843 is associative
GCF of 836 and 843 = GCF of 843 and 836
1. What is the GCF of 836 and 843?
Answer: GCF of 836 and 843 is 1.
2. What are the Factors of 836?
Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.
3. What are the Factors of 843?
Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.
4. How to Find the GCF of 836 and 843?
Answer:
Greatest Common Factor of 836 and 843 = 1
Step 1: Find the prime factorization of 836
836 = 2 x 2 x 11 x 19
Step 2: Find the prime factorization of 843
843 = 3 x 281
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 836 and 843 is 1