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 7844, 7845 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7844 and 7845 is 1.
GCF(7844,7845) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7844
2 | 7844 |
2 | 3922 |
37 | 1961 |
53 | 53 |
1 |
Prime factors of 7844 are 2,37,53. Prime factorization of 7844 in exponential form is:
7844 = 22×371×531
Prime Factorization of 7845
3 | 7845 |
5 | 2615 |
523 | 523 |
1 |
Prime factors of 7845 are 3,5,523. Prime factorization of 7845 in exponential form is:
7845 = 31×51×5231
∴ So by taking common prime factors GCF of 7844 and 7845 is 1
Factors of 7844
List of positive integer factors of 7844 that divides 7844 without a remainder.
1,2,4,37,53,74,106,148,212,1961,3922,7844
Factors of 7845
List of positive integer factors of 7845 that divides 7845 without a remainder.
1,3,5,15,523,1569,2615,7845
Greatest Common Factor
We found the factors and prime factorization of 7844 and 7845. The biggest common factor number is the GCF number.
So the greatest common factor 7844 and 7845 is 1.
Also check out the Least Common Multiple of 7844 and 7845
(i) The GCF of 7844 and 7845 is associative
GCF of 7844 and 7845 = GCF of 7845 and 7844
1. What is the GCF of 7844 and 7845?
Answer: GCF of 7844 and 7845 is 1.
2. What are the Factors of 7844?
Answer: Factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844. There are 12 integers that are factors of 7844. The greatest factor of 7844 is 7844.
3. What are the Factors of 7845?
Answer: Factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845. There are 8 integers that are factors of 7845. The greatest factor of 7845 is 7845.
4. How to Find the GCF of 7844 and 7845?
Answer:
Greatest Common Factor of 7844 and 7845 = 1
Step 1: Find the prime factorization of 7844
7844 = 2 x 2 x 37 x 53
Step 2: Find the prime factorization of 7845
7845 = 3 x 5 x 523
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 7844 and 7845 is 1