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 7845, 7851 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7845 and 7851 is 3.
GCF(7845,7851) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7851
3 | 7851 |
2617 | 2617 |
1 |
Prime factors of 7851 are 3,2617. Prime factorization of 7851 in exponential form is:
7851 = 31×26171
∴ So by taking common prime factors GCF of 7845 and 7851 is 3
Factors of 7845
List of positive integer factors of 7845 that divides 7845 without a remainder.
1,3,5,15,523,1569,2615,7845
Factors of 7851
List of positive integer factors of 7851 that divides 7851 without a remainder.
1,3,2617,7851
Greatest Common Factor
We found the factors and prime factorization of 7845 and 7851. The biggest common factor number is the GCF number.
So the greatest common factor 7845 and 7851 is 3.
Also check out the Least Common Multiple of 7845 and 7851
(i) The GCF of 7845 and 7851 is associative
GCF of 7845 and 7851 = GCF of 7851 and 7845
1. What is the GCF of 7845 and 7851?
Answer: GCF of 7845 and 7851 is 3.
2. 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.
3. What are the Factors of 7851?
Answer: Factors of 7851 are 1, 3, 2617, 7851. There are 4 integers that are factors of 7851. The greatest factor of 7851 is 7851.
4. How to Find the GCF of 7845 and 7851?
Answer:
Greatest Common Factor of 7845 and 7851 = 3
Step 1: Find the prime factorization of 7845
7845 = 3 x 5 x 523
Step 2: Find the prime factorization of 7851
7851 = 3 x 2617
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7845 and 7851 is 3