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, 7087 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7083 and 7087 is 1.
GCF(7083,7087) = 1
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 7087
19 | 7087 |
373 | 373 |
1 |
Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:
7087 = 191×3731
∴ So by taking common prime factors GCF of 7083 and 7087 is 1
Factors of 7083
List of positive integer factors of 7083 that divides 7083 without a remainder.
1,3,9,787,2361,7083
Factors of 7087
List of positive integer factors of 7087 that divides 7087 without a remainder.
1,19,373,7087
Greatest Common Factor
We found the factors and prime factorization of 7083 and 7087. The biggest common factor number is the GCF number.
So the greatest common factor 7083 and 7087 is 1.
Also check out the Least Common Multiple of 7083 and 7087
(i) The GCF of 7083 and 7087 is associative
GCF of 7083 and 7087 = GCF of 7087 and 7083
1. What is the GCF of 7083 and 7087?
Answer: GCF of 7083 and 7087 is 1.
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 7087?
Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.
4. How to Find the GCF of 7083 and 7087?
Answer:
Greatest Common Factor of 7083 and 7087 = 1
Step 1: Find the prime factorization of 7083
7083 = 3 x 3 x 787
Step 2: Find the prime factorization of 7087
7087 = 19 x 373
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 7083 and 7087 is 1