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 8875, 8883 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8875 and 8883 is 1.
GCF(8875,8883) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8875
5 | 8875 |
5 | 1775 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 8875 are 5,71. Prime factorization of 8875 in exponential form is:
8875 = 53×711
Prime Factorization of 8883
3 | 8883 |
3 | 2961 |
3 | 987 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 8883 are 3,7,47. Prime factorization of 8883 in exponential form is:
8883 = 33×71×471
∴ So by taking common prime factors GCF of 8875 and 8883 is 1
Factors of 8875
List of positive integer factors of 8875 that divides 8875 without a remainder.
1,5,25,71,125,355,1775,8875
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors and prime factorization of 8875 and 8883. The biggest common factor number is the GCF number.
So the greatest common factor 8875 and 8883 is 1.
Also check out the Least Common Multiple of 8875 and 8883
(i) The GCF of 8875 and 8883 is associative
GCF of 8875 and 8883 = GCF of 8883 and 8875
1. What is the GCF of 8875 and 8883?
Answer: GCF of 8875 and 8883 is 1.
2. What are the Factors of 8875?
Answer: Factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875. There are 8 integers that are factors of 8875. The greatest factor of 8875 is 8875.
3. What are the Factors of 8883?
Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.
4. How to Find the GCF of 8875 and 8883?
Answer:
Greatest Common Factor of 8875 and 8883 = 1
Step 1: Find the prime factorization of 8875
8875 = 5 x 5 x 5 x 71
Step 2: Find the prime factorization of 8883
8883 = 3 x 3 x 3 x 7 x 47
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 8875 and 8883 is 1