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 813, 820 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 813 and 820 is 1.
GCF(813,820) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 813
3 | 813 |
271 | 271 |
1 |
Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:
813 = 31×2711
Prime Factorization of 820
2 | 820 |
2 | 410 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 820 are 2,5,41. Prime factorization of 820 in exponential form is:
820 = 22×51×411
∴ So by taking common prime factors GCF of 813 and 820 is 1
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors and prime factorization of 813 and 820. The biggest common factor number is the GCF number.
So the greatest common factor 813 and 820 is 1.
Also check out the Least Common Multiple of 813 and 820
(i) The GCF of 813 and 820 is associative
GCF of 813 and 820 = GCF of 820 and 813
1. What is the GCF of 813 and 820?
Answer: GCF of 813 and 820 is 1.
2. What are the Factors of 813?
Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.
3. What are the Factors of 820?
Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.
4. How to Find the GCF of 813 and 820?
Answer:
Greatest Common Factor of 813 and 820 = 1
Step 1: Find the prime factorization of 813
813 = 3 x 271
Step 2: Find the prime factorization of 820
820 = 2 x 2 x 5 x 41
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 813 and 820 is 1