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 8121, 8127 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8121 and 8127 is 3.
GCF(8121,8127) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8121
3 | 8121 |
2707 | 2707 |
1 |
Prime factors of 8121 are 3,2707. Prime factorization of 8121 in exponential form is:
8121 = 31×27071
Prime Factorization of 8127
3 | 8127 |
3 | 2709 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 8127 are 3,7,43. Prime factorization of 8127 in exponential form is:
8127 = 33×71×431
∴ So by taking common prime factors GCF of 8121 and 8127 is 3
Factors of 8121
List of positive integer factors of 8121 that divides 8121 without a remainder.
1,3,2707,8121
Factors of 8127
List of positive integer factors of 8127 that divides 8127 without a remainder.
1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors and prime factorization of 8121 and 8127. The biggest common factor number is the GCF number.
So the greatest common factor 8121 and 8127 is 3.
Also check out the Least Common Multiple of 8121 and 8127
(i) The GCF of 8121 and 8127 is associative
GCF of 8121 and 8127 = GCF of 8127 and 8121
1. What is the GCF of 8121 and 8127?
Answer: GCF of 8121 and 8127 is 3.
2. What are the Factors of 8121?
Answer: Factors of 8121 are 1, 3, 2707, 8121. There are 4 integers that are factors of 8121. The greatest factor of 8121 is 8121.
3. What are the Factors of 8127?
Answer: Factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127. There are 16 integers that are factors of 8127. The greatest factor of 8127 is 8127.
4. How to Find the GCF of 8121 and 8127?
Answer:
Greatest Common Factor of 8121 and 8127 = 3
Step 1: Find the prime factorization of 8121
8121 = 3 x 2707
Step 2: Find the prime factorization of 8127
8127 = 3 x 3 x 3 x 7 x 43
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 8121 and 8127 is 3