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 829, 837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 829 and 837 is 1.
GCF(829,837) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 829
829 | 829 |
1 |
Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:
829 = 8291
Prime Factorization of 837
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 837 are 3.Prime factorization of 837 in exponential form is:
837 = 33×311
∴ So by taking common prime factors GCF of 829 and 837 is 1
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors and prime factorization of 829 and 837. The biggest common factor number is the GCF number.
So the greatest common factor 829 and 837 is 1.
Also check out the Least Common Multiple of 829 and 837
(i) The GCF of 829 and 837 is associative
GCF of 829 and 837 = GCF of 837 and 829
1. What is the GCF of 829 and 837?
Answer: GCF of 829 and 837 is 1.
2. What are the Factors of 829?
Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.
3. What are the Factors of 837?
Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.
4. How to Find the GCF of 829 and 837?
Answer:
Greatest Common Factor of 829 and 837 = 1
Step 1: Find the prime factorization of 829
829 = 829
Step 2: Find the prime factorization of 837
837 = 3 x 3 x 3 x 31
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 829 and 837 is 1