Greatest Common Factor of 8850 and 8855

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 8850, 8855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8850 and 8855 is 5.

GCF(8850,8855) = 5

GCF of 8850 and 8855

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8850 and 8855

GCF of 8850 and 8855 is 5

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

Prime Factorization of 8855


5 8855
7 1771
11 253
23 23
1

Prime factors of 8855 are 5,7,11,23. Prime factorization of 8855 in exponential form is:

8855 = 51×71×111×231

∴ So by taking common prime factors GCF of 8850 and 8855 is 5

Greatest Common Factor of 8850 and 8855 by matching factors method

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

Factors of 8855

List of positive integer factors of 8855 that divides 8855 without a remainder.

1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855

Greatest Common Factor

We found the factors and prime factorization of 8850 and 8855. The biggest common factor number is the GCF number.
So the greatest common factor 8850 and 8855 is 5.

Also check out the Least Common Multiple of 8850 and 8855

Properties of GCF 8850 and 8855

(i) The GCF of 8850 and 8855 is associative

GCF of 8850 and 8855 = GCF of 8855 and 8850

Related Greatest Common Factor of 8850

Related Greatest Common Factor of 8855

Frequently Asked Questions on GCF of 8850 and 8855

1. What is the GCF of 8850 and 8855?

Answer: GCF of 8850 and 8855 is 5.

2. 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.

3. What are the Factors of 8855?

Answer: Factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855. There are 16 integers that are factors of 8855. The greatest factor of 8855 is 8855.

4. How to Find the GCF of 8850 and 8855?

Answer:

Greatest Common Factor of 8850 and 8855 = 5

Step 1: Find the prime factorization of 8850

8850 = 2 x 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 8855

8855 = 5 x 7 x 11 x 23

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 8850 and 8855 is 5