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 7875, 7881 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7875 and 7881 is 3.
GCF(7875,7881) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7875
3 | 7875 |
3 | 2625 |
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 7875 are 3,5,7. Prime factorization of 7875 in exponential form is:
7875 = 32×53×71
Prime Factorization of 7881
3 | 7881 |
37 | 2627 |
71 | 71 |
1 |
Prime factors of 7881 are 3,37,71. Prime factorization of 7881 in exponential form is:
7881 = 31×371×711
∴ So by taking common prime factors GCF of 7875 and 7881 is 3
Factors of 7875
List of positive integer factors of 7875 that divides 7875 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Factors of 7881
List of positive integer factors of 7881 that divides 7881 without a remainder.
1,3,37,71,111,213,2627,7881
Greatest Common Factor
We found the factors and prime factorization of 7875 and 7881. The biggest common factor number is the GCF number.
So the greatest common factor 7875 and 7881 is 3.
Also check out the Least Common Multiple of 7875 and 7881
(i) The GCF of 7875 and 7881 is associative
GCF of 7875 and 7881 = GCF of 7881 and 7875
1. What is the GCF of 7875 and 7881?
Answer: GCF of 7875 and 7881 is 3.
2. What are the Factors of 7875?
Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.
3. What are the Factors of 7881?
Answer: Factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881. There are 8 integers that are factors of 7881. The greatest factor of 7881 is 7881.
4. How to Find the GCF of 7875 and 7881?
Answer:
Greatest Common Factor of 7875 and 7881 = 3
Step 1: Find the prime factorization of 7875
7875 = 3 x 3 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 7881
7881 = 3 x 37 x 71
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 7875 and 7881 is 3