Greatest Common Factor of 8848 and 8850

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 8848, 8850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8848 and 8850 is 2.

GCF(8848,8850) = 2

GCF of 8848 and 8850

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

GCF of:
and

Greatest Common Factor of 8848 and 8850

GCF of 8848 and 8850 is 2

Prime Factorization of 8848


2 8848
2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 8848 are 2,7,79. Prime factorization of 8848 in exponential form is:

8848 = 24×71×791

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 8848 and 8850 is 2

Greatest Common Factor of 8848 and 8850 by matching factors method

Factors of 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848

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 8848 and 8850. The biggest common factor number is the GCF number.
So the greatest common factor 8848 and 8850 is 2.

Also check out the Least Common Multiple of 8848 and 8850

Properties of GCF 8848 and 8850

(i) The GCF of 8848 and 8850 is associative

GCF of 8848 and 8850 = GCF of 8850 and 8848

Related Greatest Common Factor of 8848

Related Greatest Common Factor of 8850

Frequently Asked Questions on GCF of 8848 and 8850

1. What is the GCF of 8848 and 8850?

Answer: GCF of 8848 and 8850 is 2.

2. What are the Factors of 8848?

Answer: Factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848. There are 20 integers that are factors of 8848. The greatest factor of 8848 is 8848.

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 8848 and 8850?

Answer:

Greatest Common Factor of 8848 and 8850 = 2

Step 1: Find the prime factorization of 8848

8848 = 2 x 2 x 2 x 2 x 7 x 79

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 = 2

Step 4: Therefore, the greatest common factor of 8848 and 8850 is 2