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 8979, 8985 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8979 and 8985 is 3.
GCF(8979,8985) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8979
3 | 8979 |
41 | 2993 |
73 | 73 |
1 |
Prime factors of 8979 are 3,41,73. Prime factorization of 8979 in exponential form is:
8979 = 31×411×731
Prime Factorization of 8985
3 | 8985 |
5 | 2995 |
599 | 599 |
1 |
Prime factors of 8985 are 3,5,599. Prime factorization of 8985 in exponential form is:
8985 = 31×51×5991
∴ So by taking common prime factors GCF of 8979 and 8985 is 3
Factors of 8979
List of positive integer factors of 8979 that divides 8979 without a remainder.
1,3,41,73,123,219,2993,8979
Factors of 8985
List of positive integer factors of 8985 that divides 8985 without a remainder.
1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors and prime factorization of 8979 and 8985. The biggest common factor number is the GCF number.
So the greatest common factor 8979 and 8985 is 3.
Also check out the Least Common Multiple of 8979 and 8985
(i) The GCF of 8979 and 8985 is associative
GCF of 8979 and 8985 = GCF of 8985 and 8979
1. What is the GCF of 8979 and 8985?
Answer: GCF of 8979 and 8985 is 3.
2. What are the Factors of 8979?
Answer: Factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979. There are 8 integers that are factors of 8979. The greatest factor of 8979 is 8979.
3. What are the Factors of 8985?
Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.
4. How to Find the GCF of 8979 and 8985?
Answer:
Greatest Common Factor of 8979 and 8985 = 3
Step 1: Find the prime factorization of 8979
8979 = 3 x 41 x 73
Step 2: Find the prime factorization of 8985
8985 = 3 x 5 x 599
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 8979 and 8985 is 3