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 3822, 3823 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3822 and 3823 is 1.
GCF(3822,3823) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3823
3823 | 3823 |
1 |
Prime factors of 3823 are 3823. Prime factorization of 3823 in exponential form is:
3823 = 38231
∴ So by taking common prime factors GCF of 3822 and 3823 is 1
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
Factors of 3823
List of positive integer factors of 3823 that divides 3823 without a remainder.
1,3823
Greatest Common Factor
We found the factors and prime factorization of 3822 and 3823. The biggest common factor number is the GCF number.
So the greatest common factor 3822 and 3823 is 1.
Also check out the Least Common Multiple of 3822 and 3823
(i) The GCF of 3822 and 3823 is associative
GCF of 3822 and 3823 = GCF of 3823 and 3822
1. What is the GCF of 3822 and 3823?
Answer: GCF of 3822 and 3823 is 1.
2. 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.
3. What are the Factors of 3823?
Answer: Factors of 3823 are 1, 3823. There are 2 integers that are factors of 3823. The greatest factor of 3823 is 3823.
4. How to Find the GCF of 3822 and 3823?
Answer:
Greatest Common Factor of 3822 and 3823 = 1
Step 1: Find the prime factorization of 3822
3822 = 2 x 3 x 7 x 7 x 13
Step 2: Find the prime factorization of 3823
3823 = 3823
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 3822 and 3823 is 1