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 7847, 7848 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7847 and 7848 is 1.
GCF(7847,7848) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7847
7 | 7847 |
19 | 1121 |
59 | 59 |
1 |
Prime factors of 7847 are 7,19,59. Prime factorization of 7847 in exponential form is:
7847 = 71×191×591
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
∴ So by taking common prime factors GCF of 7847 and 7848 is 1
Factors of 7847
List of positive integer factors of 7847 that divides 7847 without a remainder.
1,7,19,59,133,413,1121,7847
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
Greatest Common Factor
We found the factors and prime factorization of 7847 and 7848. The biggest common factor number is the GCF number.
So the greatest common factor 7847 and 7848 is 1.
Also check out the Least Common Multiple of 7847 and 7848
(i) The GCF of 7847 and 7848 is associative
GCF of 7847 and 7848 = GCF of 7848 and 7847
1. What is the GCF of 7847 and 7848?
Answer: GCF of 7847 and 7848 is 1.
2. What are the Factors of 7847?
Answer: Factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847. There are 8 integers that are factors of 7847. The greatest factor of 7847 is 7847.
3. 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.
4. How to Find the GCF of 7847 and 7848?
Answer:
Greatest Common Factor of 7847 and 7848 = 1
Step 1: Find the prime factorization of 7847
7847 = 7 x 19 x 59
Step 2: Find the prime factorization of 7848
7848 = 2 x 2 x 2 x 3 x 3 x 109
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 7847 and 7848 is 1