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 8845, 8850 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8845 and 8850 is 5.
GCF(8845,8850) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8845
5 | 8845 |
29 | 1769 |
61 | 61 |
1 |
Prime factors of 8845 are 5,29,61. Prime factorization of 8845 in exponential form is:
8845 = 51×291×611
Prime Factorization of 8850
2 | 8850 |
3 | 4425 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 8850 are 2,3,5,59. Prime factorization of 8850 in exponential form is:
8850 = 21×31×52×591
∴ So by taking common prime factors GCF of 8845 and 8850 is 5
Factors of 8845
List of positive integer factors of 8845 that divides 8845 without a remainder.
1,5,29,61,145,305,1769,8845
Factors of 8850
List of positive integer factors of 8850 that divides 8850 without a remainder.
1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors and prime factorization of 8845 and 8850. The biggest common factor number is the GCF number.
So the greatest common factor 8845 and 8850 is 5.
Also check out the Least Common Multiple of 8845 and 8850
(i) The GCF of 8845 and 8850 is associative
GCF of 8845 and 8850 = GCF of 8850 and 8845
1. What is the GCF of 8845 and 8850?
Answer: GCF of 8845 and 8850 is 5.
2. What are the Factors of 8845?
Answer: Factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845. There are 8 integers that are factors of 8845. The greatest factor of 8845 is 8845.
3. What are the Factors of 8850?
Answer: Factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850. There are 24 integers that are factors of 8850. The greatest factor of 8850 is 8850.
4. How to Find the GCF of 8845 and 8850?
Answer:
Greatest Common Factor of 8845 and 8850 = 5
Step 1: Find the prime factorization of 8845
8845 = 5 x 29 x 61
Step 2: Find the prime factorization of 8850
8850 = 2 x 3 x 5 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 8845 and 8850 is 5