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 7083, 7086 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7083 and 7086 is 3.
GCF(7083,7086) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7083
3 | 7083 |
3 | 2361 |
787 | 787 |
1 |
Prime factors of 7083 are 3,787. Prime factorization of 7083 in exponential form is:
7083 = 32×7871
Prime Factorization of 7086
2 | 7086 |
3 | 3543 |
1181 | 1181 |
1 |
Prime factors of 7086 are 2,3,1181. Prime factorization of 7086 in exponential form is:
7086 = 21×31×11811
∴ So by taking common prime factors GCF of 7083 and 7086 is 3
Factors of 7083
List of positive integer factors of 7083 that divides 7083 without a remainder.
1,3,9,787,2361,7083
Factors of 7086
List of positive integer factors of 7086 that divides 7086 without a remainder.
1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors and prime factorization of 7083 and 7086. The biggest common factor number is the GCF number.
So the greatest common factor 7083 and 7086 is 3.
Also check out the Least Common Multiple of 7083 and 7086
(i) The GCF of 7083 and 7086 is associative
GCF of 7083 and 7086 = GCF of 7086 and 7083
1. What is the GCF of 7083 and 7086?
Answer: GCF of 7083 and 7086 is 3.
2. What are the Factors of 7083?
Answer: Factors of 7083 are 1, 3, 9, 787, 2361, 7083. There are 6 integers that are factors of 7083. The greatest factor of 7083 is 7083.
3. What are the Factors of 7086?
Answer: Factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086. There are 8 integers that are factors of 7086. The greatest factor of 7086 is 7086.
4. How to Find the GCF of 7083 and 7086?
Answer:
Greatest Common Factor of 7083 and 7086 = 3
Step 1: Find the prime factorization of 7083
7083 = 3 x 3 x 787
Step 2: Find the prime factorization of 7086
7086 = 2 x 3 x 1181
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 7083 and 7086 is 3