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 8178, 8181 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8178 and 8181 is 3.
GCF(8178,8181) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8178
2 | 8178 |
3 | 4089 |
29 | 1363 |
47 | 47 |
1 |
Prime factors of 8178 are 2,3,29,47. Prime factorization of 8178 in exponential form is:
8178 = 21×31×291×471
Prime Factorization of 8181
3 | 8181 |
3 | 2727 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:
8181 = 34×1011
∴ So by taking common prime factors GCF of 8178 and 8181 is 3
Factors of 8178
List of positive integer factors of 8178 that divides 8178 without a remainder.
1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Factors of 8181
List of positive integer factors of 8181 that divides 8181 without a remainder.
1,3,9,27,81,101,303,909,2727,8181
Greatest Common Factor
We found the factors and prime factorization of 8178 and 8181. The biggest common factor number is the GCF number.
So the greatest common factor 8178 and 8181 is 3.
Also check out the Least Common Multiple of 8178 and 8181
(i) The GCF of 8178 and 8181 is associative
GCF of 8178 and 8181 = GCF of 8181 and 8178
1. What is the GCF of 8178 and 8181?
Answer: GCF of 8178 and 8181 is 3.
2. What are the Factors of 8178?
Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.
3. What are the Factors of 8181?
Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.
4. How to Find the GCF of 8178 and 8181?
Answer:
Greatest Common Factor of 8178 and 8181 = 3
Step 1: Find the prime factorization of 8178
8178 = 2 x 3 x 29 x 47
Step 2: Find the prime factorization of 8181
8181 = 3 x 3 x 3 x 3 x 101
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 8178 and 8181 is 3