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 7870, 7871 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7870 and 7871 is 1.
GCF(7870,7871) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7870
2 | 7870 |
5 | 3935 |
787 | 787 |
1 |
Prime factors of 7870 are 2,5,787. Prime factorization of 7870 in exponential form is:
7870 = 21×51×7871
Prime Factorization of 7871
17 | 7871 |
463 | 463 |
1 |
Prime factors of 7871 are 17,463. Prime factorization of 7871 in exponential form is:
7871 = 171×4631
∴ So by taking common prime factors GCF of 7870 and 7871 is 1
Factors of 7870
List of positive integer factors of 7870 that divides 7870 without a remainder.
1,2,5,10,787,1574,3935,7870
Factors of 7871
List of positive integer factors of 7871 that divides 7871 without a remainder.
1,17,463,7871
Greatest Common Factor
We found the factors and prime factorization of 7870 and 7871. The biggest common factor number is the GCF number.
So the greatest common factor 7870 and 7871 is 1.
Also check out the Least Common Multiple of 7870 and 7871
(i) The GCF of 7870 and 7871 is associative
GCF of 7870 and 7871 = GCF of 7871 and 7870
1. What is the GCF of 7870 and 7871?
Answer: GCF of 7870 and 7871 is 1.
2. What are the Factors of 7870?
Answer: Factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870. There are 8 integers that are factors of 7870. The greatest factor of 7870 is 7870.
3. What are the Factors of 7871?
Answer: Factors of 7871 are 1, 17, 463, 7871. There are 4 integers that are factors of 7871. The greatest factor of 7871 is 7871.
4. How to Find the GCF of 7870 and 7871?
Answer:
Greatest Common Factor of 7870 and 7871 = 1
Step 1: Find the prime factorization of 7870
7870 = 2 x 5 x 787
Step 2: Find the prime factorization of 7871
7871 = 17 x 463
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 7870 and 7871 is 1