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 8906, 8910 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8906 and 8910 is 2.
GCF(8906,8910) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8906
2 | 8906 |
61 | 4453 |
73 | 73 |
1 |
Prime factors of 8906 are 2,61,73. Prime factorization of 8906 in exponential form is:
8906 = 21×611×731
Prime Factorization of 8910
2 | 8910 |
3 | 4455 |
3 | 1485 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 8910 are 2,3,5,11. Prime factorization of 8910 in exponential form is:
8910 = 21×34×51×111
∴ So by taking common prime factors GCF of 8906 and 8910 is 2
Factors of 8906
List of positive integer factors of 8906 that divides 8906 without a remainder.
1,2,61,73,122,146,4453,8906
Factors of 8910
List of positive integer factors of 8910 that divides 8910 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Greatest Common Factor
We found the factors and prime factorization of 8906 and 8910. The biggest common factor number is the GCF number.
So the greatest common factor 8906 and 8910 is 2.
Also check out the Least Common Multiple of 8906 and 8910
(i) The GCF of 8906 and 8910 is associative
GCF of 8906 and 8910 = GCF of 8910 and 8906
1. What is the GCF of 8906 and 8910?
Answer: GCF of 8906 and 8910 is 2.
2. What are the Factors of 8906?
Answer: Factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906. There are 8 integers that are factors of 8906. The greatest factor of 8906 is 8906.
3. What are the Factors of 8910?
Answer: Factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910. There are 40 integers that are factors of 8910. The greatest factor of 8910 is 8910.
4. How to Find the GCF of 8906 and 8910?
Answer:
Greatest Common Factor of 8906 and 8910 = 2
Step 1: Find the prime factorization of 8906
8906 = 2 x 61 x 73
Step 2: Find the prime factorization of 8910
8910 = 2 x 3 x 3 x 3 x 3 x 5 x 11
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 8906 and 8910 is 2