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, 838 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 835 and 838 is 1.
GCF(835,838) = 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 838
2 | 838 |
419 | 419 |
1 |
Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:
838 = 21×4191
∴ So by taking common prime factors GCF of 835 and 838 is 1
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors and prime factorization of 835 and 838. The biggest common factor number is the GCF number.
So the greatest common factor 835 and 838 is 1.
Also check out the Least Common Multiple of 835 and 838
(i) The GCF of 835 and 838 is associative
GCF of 835 and 838 = GCF of 838 and 835
1. What is the GCF of 835 and 838?
Answer: GCF of 835 and 838 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 838?
Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.
4. How to Find the GCF of 835 and 838?
Answer:
Greatest Common Factor of 835 and 838 = 1
Step 1: Find the prime factorization of 835
835 = 5 x 167
Step 2: Find the prime factorization of 838
838 = 2 x 419
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 838 is 1