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 3820, 3822 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3820 and 3822 is 2.
GCF(3820,3822) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3820
2 | 3820 |
2 | 1910 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 3820 are 2,5,191. Prime factorization of 3820 in exponential form is:
3820 = 22×51×1911
Prime Factorization of 3822
2 | 3822 |
3 | 1911 |
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 3822 are 2,3,7,13. Prime factorization of 3822 in exponential form is:
3822 = 21×31×72×131
∴ So by taking common prime factors GCF of 3820 and 3822 is 2
Factors of 3820
List of positive integer factors of 3820 that divides 3820 without a remainder.
1,2,4,5,10,20,191,382,764,955,1910,3820
Factors of 3822
List of positive integer factors of 3822 that divides 3822 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822
Greatest Common Factor
We found the factors and prime factorization of 3820 and 3822. The biggest common factor number is the GCF number.
So the greatest common factor 3820 and 3822 is 2.
Also check out the Least Common Multiple of 3820 and 3822
(i) The GCF of 3820 and 3822 is associative
GCF of 3820 and 3822 = GCF of 3822 and 3820
1. What is the GCF of 3820 and 3822?
Answer: GCF of 3820 and 3822 is 2.
2. What are the Factors of 3820?
Answer: Factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820. There are 12 integers that are factors of 3820. The greatest factor of 3820 is 3820.
3. What are the Factors of 3822?
Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.
4. How to Find the GCF of 3820 and 3822?
Answer:
Greatest Common Factor of 3820 and 3822 = 2
Step 1: Find the prime factorization of 3820
3820 = 2 x 2 x 5 x 191
Step 2: Find the prime factorization of 3822
3822 = 2 x 3 x 7 x 7 x 13
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 3820 and 3822 is 2