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 835, 842 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 835 and 842 is 1.
GCF(835,842) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 835
5 | 835 |
167 | 167 |
1 |
Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:
835 = 51×1671
Prime Factorization of 842
2 | 842 |
421 | 421 |
1 |
Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:
842 = 21×4211
∴ So by taking common prime factors GCF of 835 and 842 is 1
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors and prime factorization of 835 and 842. The biggest common factor number is the GCF number.
So the greatest common factor 835 and 842 is 1.
Also check out the Least Common Multiple of 835 and 842
(i) The GCF of 835 and 842 is associative
GCF of 835 and 842 = GCF of 842 and 835
1. What is the GCF of 835 and 842?
Answer: GCF of 835 and 842 is 1.
2. What are the Factors of 835?
Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.
3. What are the Factors of 842?
Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.
4. How to Find the GCF of 835 and 842?
Answer:
Greatest Common Factor of 835 and 842 = 1
Step 1: Find the prime factorization of 835
835 = 5 x 167
Step 2: Find the prime factorization of 842
842 = 2 x 421
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 835 and 842 is 1