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 830, 837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 830 and 837 is 1.
GCF(830,837) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 830
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 830 are 2,5,83. Prime factorization of 830 in exponential form is:
830 = 21×51×831
Prime Factorization of 837
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:
837 = 33×311
∴ So by taking common prime factors GCF of 830 and 837 is 1
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
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 830 and 837. The biggest common factor number is the GCF number.
So the greatest common factor 830 and 837 is 1.
Also check out the Least Common Multiple of 830 and 837
(i) The GCF of 830 and 837 is associative
GCF of 830 and 837 = GCF of 837 and 830
1. What is the GCF of 830 and 837?
Answer: GCF of 830 and 837 is 1.
2. What are the Factors of 830?
Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.
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 830 and 837?
Answer:
Greatest Common Factor of 830 and 837 = 1
Step 1: Find the prime factorization of 830
830 = 2 x 5 x 83
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 830 and 837 is 1