Greatest Common Factor of 4844 and 4850

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 4844, 4850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4844 and 4850 is 2.

GCF(4844,4850) = 2

GCF of 4844 and 4850

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

GCF of:
and

Greatest Common Factor of 4844 and 4850

GCF of 4844 and 4850 is 2

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2,7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

Prime Factorization of 4850


2 4850
5 2425
5 485
97 97
1

Prime factors of 4850 are 2,5,97. Prime factorization of 4850 in exponential form is:

4850 = 21×52×971

∴ So by taking common prime factors GCF of 4844 and 4850 is 2

Greatest Common Factor of 4844 and 4850 by matching factors method

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Factors of 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1,2,5,10,25,50,97,194,485,970,2425,4850

Greatest Common Factor

We found the factors and prime factorization of 4844 and 4850. The biggest common factor number is the GCF number.
So the greatest common factor 4844 and 4850 is 2.

Also check out the Least Common Multiple of 4844 and 4850

Properties of GCF 4844 and 4850

(i) The GCF of 4844 and 4850 is associative

GCF of 4844 and 4850 = GCF of 4850 and 4844

Related Greatest Common Factor of 4844

Related Greatest Common Factor of 4850

Frequently Asked Questions on GCF of 4844 and 4850

1. What is the GCF of 4844 and 4850?

Answer: GCF of 4844 and 4850 is 2.

2. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

3. What are the Factors of 4850?

Answer: Factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850. There are 12 integers that are factors of 4850. The greatest factor of 4850 is 4850.

4. How to Find the GCF of 4844 and 4850?

Answer:

Greatest Common Factor of 4844 and 4850 = 2

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4850

4850 = 2 x 5 x 5 x 97

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 4844 and 4850 is 2