Greatest Common Factor of 4844 and 4852

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, 4852 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4844 and 4852 is 4.

GCF(4844,4852) = 4

GCF of 4844 and 4852

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

GCF of:
and

Greatest Common Factor of 4844 and 4852

GCF of 4844 and 4852 is 4

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 4852


2 4852
2 2426
1213 1213
1

Prime factors of 4852 are 2,1213. Prime factorization of 4852 in exponential form is:

4852 = 22×12131

∴ So by taking common prime factors GCF of 4844 and 4852 is 4

Greatest Common Factor of 4844 and 4852 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 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1,2,4,1213,2426,4852

Greatest Common Factor

We found the factors and prime factorization of 4844 and 4852. The biggest common factor number is the GCF number.
So the greatest common factor 4844 and 4852 is 4.

Also check out the Least Common Multiple of 4844 and 4852

Properties of GCF 4844 and 4852

(i) The GCF of 4844 and 4852 is associative

GCF of 4844 and 4852 = GCF of 4852 and 4844

Related Greatest Common Factor of 4844

Related Greatest Common Factor of 4852

Frequently Asked Questions on GCF of 4844 and 4852

1. What is the GCF of 4844 and 4852?

Answer: GCF of 4844 and 4852 is 4.

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 4852?

Answer: Factors of 4852 are 1, 2, 4, 1213, 2426, 4852. There are 6 integers that are factors of 4852. The greatest factor of 4852 is 4852.

4. How to Find the GCF of 4844 and 4852?

Answer:

Greatest Common Factor of 4844 and 4852 = 4

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4852

4852 = 2 x 2 x 1213

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4844 and 4852 is 4