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 8143, 8148 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8143 and 8148 is 1.
GCF(8143,8148) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8143
17 | 8143 |
479 | 479 |
1 |
Prime factors of 8143 are 17,479. Prime factorization of 8143 in exponential form is:
8143 = 171×4791
Prime Factorization of 8148
2 | 8148 |
2 | 4074 |
3 | 2037 |
7 | 679 |
97 | 97 |
1 |
Prime factors of 8148 are 2,3,7,97. Prime factorization of 8148 in exponential form is:
8148 = 22×31×71×971
∴ So by taking common prime factors GCF of 8143 and 8148 is 1
Factors of 8143
List of positive integer factors of 8143 that divides 8143 without a remainder.
1,17,479,8143
Factors of 8148
List of positive integer factors of 8148 that divides 8148 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors and prime factorization of 8143 and 8148. The biggest common factor number is the GCF number.
So the greatest common factor 8143 and 8148 is 1.
Also check out the Least Common Multiple of 8143 and 8148
(i) The GCF of 8143 and 8148 is associative
GCF of 8143 and 8148 = GCF of 8148 and 8143
1. What is the GCF of 8143 and 8148?
Answer: GCF of 8143 and 8148 is 1.
2. What are the Factors of 8143?
Answer: Factors of 8143 are 1, 17, 479, 8143. There are 4 integers that are factors of 8143. The greatest factor of 8143 is 8143.
3. What are the Factors of 8148?
Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.
4. How to Find the GCF of 8143 and 8148?
Answer:
Greatest Common Factor of 8143 and 8148 = 1
Step 1: Find the prime factorization of 8143
8143 = 17 x 479
Step 2: Find the prime factorization of 8148
8148 = 2 x 2 x 3 x 7 x 97
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 8143 and 8148 is 1