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 7848, 7855 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7848 and 7855 is 1.
GCF(7848,7855) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7848
2 | 7848 |
2 | 3924 |
2 | 1962 |
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 7848 are 2,3,109. Prime factorization of 7848 in exponential form is:
7848 = 23×32×1091
Prime Factorization of 7855
5 | 7855 |
1571 | 1571 |
1 |
Prime factors of 7855 are 5,1571. Prime factorization of 7855 in exponential form is:
7855 = 51×15711
∴ So by taking common prime factors GCF of 7848 and 7855 is 1
Factors of 7848
List of positive integer factors of 7848 that divides 7848 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Factors of 7855
List of positive integer factors of 7855 that divides 7855 without a remainder.
1,5,1571,7855
Greatest Common Factor
We found the factors and prime factorization of 7848 and 7855. The biggest common factor number is the GCF number.
So the greatest common factor 7848 and 7855 is 1.
Also check out the Least Common Multiple of 7848 and 7855
(i) The GCF of 7848 and 7855 is associative
GCF of 7848 and 7855 = GCF of 7855 and 7848
1. What is the GCF of 7848 and 7855?
Answer: GCF of 7848 and 7855 is 1.
2. What are the Factors of 7848?
Answer: Factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848. There are 24 integers that are factors of 7848. The greatest factor of 7848 is 7848.
3. What are the Factors of 7855?
Answer: Factors of 7855 are 1, 5, 1571, 7855. There are 4 integers that are factors of 7855. The greatest factor of 7855 is 7855.
4. How to Find the GCF of 7848 and 7855?
Answer:
Greatest Common Factor of 7848 and 7855 = 1
Step 1: Find the prime factorization of 7848
7848 = 2 x 2 x 2 x 3 x 3 x 109
Step 2: Find the prime factorization of 7855
7855 = 5 x 1571
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 7848 and 7855 is 1