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 8908, 8915 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8908 and 8915 is 1.
GCF(8908,8915) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8908
2 | 8908 |
2 | 4454 |
17 | 2227 |
131 | 131 |
1 |
Prime factors of 8908 are 2,17,131. Prime factorization of 8908 in exponential form is:
8908 = 22×171×1311
Prime Factorization of 8915
5 | 8915 |
1783 | 1783 |
1 |
Prime factors of 8915 are 5,1783. Prime factorization of 8915 in exponential form is:
8915 = 51×17831
∴ So by taking common prime factors GCF of 8908 and 8915 is 1
Factors of 8908
List of positive integer factors of 8908 that divides 8908 without a remainder.
1,2,4,17,34,68,131,262,524,2227,4454,8908
Factors of 8915
List of positive integer factors of 8915 that divides 8915 without a remainder.
1,5,1783,8915
Greatest Common Factor
We found the factors and prime factorization of 8908 and 8915. The biggest common factor number is the GCF number.
So the greatest common factor 8908 and 8915 is 1.
Also check out the Least Common Multiple of 8908 and 8915
(i) The GCF of 8908 and 8915 is associative
GCF of 8908 and 8915 = GCF of 8915 and 8908
1. What is the GCF of 8908 and 8915?
Answer: GCF of 8908 and 8915 is 1.
2. What are the Factors of 8908?
Answer: Factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908. There are 12 integers that are factors of 8908. The greatest factor of 8908 is 8908.
3. What are the Factors of 8915?
Answer: Factors of 8915 are 1, 5, 1783, 8915. There are 4 integers that are factors of 8915. The greatest factor of 8915 is 8915.
4. How to Find the GCF of 8908 and 8915?
Answer:
Greatest Common Factor of 8908 and 8915 = 1
Step 1: Find the prime factorization of 8908
8908 = 2 x 2 x 17 x 131
Step 2: Find the prime factorization of 8915
8915 = 5 x 1783
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 8908 and 8915 is 1