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 8750, 8751 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8750 and 8751 is 1.
GCF(8750,8751) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8750
2 | 8750 |
5 | 4375 |
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 8750 are 2,5,7. Prime factorization of 8750 in exponential form is:
8750 = 21×54×71
Prime Factorization of 8751
3 | 8751 |
2917 | 2917 |
1 |
Prime factors of 8751 are 3,2917. Prime factorization of 8751 in exponential form is:
8751 = 31×29171
∴ So by taking common prime factors GCF of 8750 and 8751 is 1
Factors of 8750
List of positive integer factors of 8750 that divides 8750 without a remainder.
1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1,3,2917,8751
Greatest Common Factor
We found the factors and prime factorization of 8750 and 8751. The biggest common factor number is the GCF number.
So the greatest common factor 8750 and 8751 is 1.
Also check out the Least Common Multiple of 8750 and 8751
(i) The GCF of 8750 and 8751 is associative
GCF of 8750 and 8751 = GCF of 8751 and 8750
1. What is the GCF of 8750 and 8751?
Answer: GCF of 8750 and 8751 is 1.
2. What are the Factors of 8750?
Answer: Factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750. There are 20 integers that are factors of 8750. The greatest factor of 8750 is 8750.
3. What are the Factors of 8751?
Answer: Factors of 8751 are 1, 3, 2917, 8751. There are 4 integers that are factors of 8751. The greatest factor of 8751 is 8751.
4. How to Find the GCF of 8750 and 8751?
Answer:
Greatest Common Factor of 8750 and 8751 = 1
Step 1: Find the prime factorization of 8750
8750 = 2 x 5 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 8751
8751 = 3 x 2917
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 8750 and 8751 is 1