Greatest Common Factor of 8850 and 8858

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, 8858 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8850 and 8858 is 2.

GCF(8850,8858) = 2

GCF of 8850 and 8858

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

GCF of:
and

Greatest Common Factor of 8850 and 8858

GCF of 8850 and 8858 is 2

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 8858


2 8858
43 4429
103 103
1

Prime factors of 8858 are 2,43,103. Prime factorization of 8858 in exponential form is:

8858 = 21×431×1031

∴ So by taking common prime factors GCF of 8850 and 8858 is 2

Greatest Common Factor of 8850 and 8858 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 8858

List of positive integer factors of 8858 that divides 8858 without a remainder.

1,2,43,86,103,206,4429,8858

Greatest Common Factor

We found the factors and prime factorization of 8850 and 8858. The biggest common factor number is the GCF number.
So the greatest common factor 8850 and 8858 is 2.

Also check out the Least Common Multiple of 8850 and 8858

Properties of GCF 8850 and 8858

(i) The GCF of 8850 and 8858 is associative

GCF of 8850 and 8858 = GCF of 8858 and 8850

Related Greatest Common Factor of 8850

Related Greatest Common Factor of 8858

Frequently Asked Questions on GCF of 8850 and 8858

1. What is the GCF of 8850 and 8858?

Answer: GCF of 8850 and 8858 is 2.

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 8858?

Answer: Factors of 8858 are 1, 2, 43, 86, 103, 206, 4429, 8858. There are 8 integers that are factors of 8858. The greatest factor of 8858 is 8858.

4. How to Find the GCF of 8850 and 8858?

Answer:

Greatest Common Factor of 8850 and 8858 = 2

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 8858

8858 = 2 x 43 x 103

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 8850 and 8858 is 2