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, 8752 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8750 and 8752 is 2.
GCF(8750,8752) = 2
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 8752
2 | 8752 |
2 | 4376 |
2 | 2188 |
2 | 1094 |
547 | 547 |
1 |
Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:
8752 = 24×5471
∴ So by taking common prime factors GCF of 8750 and 8752 is 2
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 8752
List of positive integer factors of 8752 that divides 8752 without a remainder.
1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors and prime factorization of 8750 and 8752. The biggest common factor number is the GCF number.
So the greatest common factor 8750 and 8752 is 2.
Also check out the Least Common Multiple of 8750 and 8752
(i) The GCF of 8750 and 8752 is associative
GCF of 8750 and 8752 = GCF of 8752 and 8750
1. What is the GCF of 8750 and 8752?
Answer: GCF of 8750 and 8752 is 2.
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 8752?
Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.
4. How to Find the GCF of 8750 and 8752?
Answer:
Greatest Common Factor of 8750 and 8752 = 2
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 8752
8752 = 2 x 2 x 2 x 2 x 547
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8750 and 8752 is 2