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 834, 841 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 834 and 841 is 1.
GCF(834,841) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 834
2 | 834 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 834 are 2,3,139. Prime factorization of 834 in exponential form is:
834 = 21×31×1391
Prime Factorization of 841
29 | 841 |
29 | 29 |
1 |
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
∴ So by taking common prime factors GCF of 834 and 841 is 1
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors and prime factorization of 834 and 841. The biggest common factor number is the GCF number.
So the greatest common factor 834 and 841 is 1.
Also check out the Least Common Multiple of 834 and 841
(i) The GCF of 834 and 841 is associative
GCF of 834 and 841 = GCF of 841 and 834
1. What is the GCF of 834 and 841?
Answer: GCF of 834 and 841 is 1.
2. What are the Factors of 834?
Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.
3. What are the Factors of 841?
Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.
4. How to Find the GCF of 834 and 841?
Answer:
Greatest Common Factor of 834 and 841 = 1
Step 1: Find the prime factorization of 834
834 = 2 x 3 x 139
Step 2: Find the prime factorization of 841
841 = 29 x 29
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 834 and 841 is 1