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 8975, 8982 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8975 and 8982 is 1.
GCF(8975,8982) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8975
5 | 8975 |
5 | 1795 |
359 | 359 |
1 |
Prime factors of 8975 are 5,359. Prime factorization of 8975 in exponential form is:
8975 = 52×3591
Prime Factorization of 8982
2 | 8982 |
3 | 4491 |
3 | 1497 |
499 | 499 |
1 |
Prime factors of 8982 are 2,3,499. Prime factorization of 8982 in exponential form is:
8982 = 21×32×4991
∴ So by taking common prime factors GCF of 8975 and 8982 is 1
Factors of 8975
List of positive integer factors of 8975 that divides 8975 without a remainder.
1,5,25,359,1795,8975
Factors of 8982
List of positive integer factors of 8982 that divides 8982 without a remainder.
1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors and prime factorization of 8975 and 8982. The biggest common factor number is the GCF number.
So the greatest common factor 8975 and 8982 is 1.
Also check out the Least Common Multiple of 8975 and 8982
(i) The GCF of 8975 and 8982 is associative
GCF of 8975 and 8982 = GCF of 8982 and 8975
1. What is the GCF of 8975 and 8982?
Answer: GCF of 8975 and 8982 is 1.
2. What are the Factors of 8975?
Answer: Factors of 8975 are 1, 5, 25, 359, 1795, 8975. There are 6 integers that are factors of 8975. The greatest factor of 8975 is 8975.
3. What are the Factors of 8982?
Answer: Factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982. There are 12 integers that are factors of 8982. The greatest factor of 8982 is 8982.
4. How to Find the GCF of 8975 and 8982?
Answer:
Greatest Common Factor of 8975 and 8982 = 1
Step 1: Find the prime factorization of 8975
8975 = 5 x 5 x 359
Step 2: Find the prime factorization of 8982
8982 = 2 x 3 x 3 x 499
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 8975 and 8982 is 1