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 820, 822 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 820 and 822 is 2.
GCF(820,822) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 822
2 | 822 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 822 are 2,3,137. Prime factorization of 822 in exponential form is:
822 = 21×31×1371
∴ So by taking common prime factors GCF of 820 and 822 is 2
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
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors and prime factorization of 820 and 822. The biggest common factor number is the GCF number.
So the greatest common factor 820 and 822 is 2.
Also check out the Least Common Multiple of 820 and 822
(i) The GCF of 820 and 822 is associative
GCF of 820 and 822 = GCF of 822 and 820
1. What is the GCF of 820 and 822?
Answer: GCF of 820 and 822 is 2.
2. 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.
3. What are the Factors of 822?
Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.
4. How to Find the GCF of 820 and 822?
Answer:
Greatest Common Factor of 820 and 822 = 2
Step 1: Find the prime factorization of 820
820 = 2 x 2 x 5 x 41
Step 2: Find the prime factorization of 822
822 = 2 x 3 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 820 and 822 is 2