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 823, 830 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 823 and 830 is 1.
GCF(823,830) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 823
823 | 823 |
1 |
Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:
823 = 8231
Prime Factorization of 830
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 830 are 2.Prime factorization of 830 in exponential form is:
830 = 21×51×831
∴ So by taking common prime factors GCF of 823 and 830 is 1
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors and prime factorization of 823 and 830. The biggest common factor number is the GCF number.
So the greatest common factor 823 and 830 is 1.
Also check out the Least Common Multiple of 823 and 830
(i) The GCF of 823 and 830 is associative
GCF of 823 and 830 = GCF of 830 and 823
1. What is the GCF of 823 and 830?
Answer: GCF of 823 and 830 is 1.
2. What are the Factors of 823?
Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.
3. 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.
4. How to Find the GCF of 823 and 830?
Answer:
Greatest Common Factor of 823 and 830 = 1
Step 1: Find the prime factorization of 823
823 = 823
Step 2: Find the prime factorization of 830
830 = 2 x 5 x 83
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 823 and 830 is 1