Greatest Common Factor of 4838 and 4842

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 4838, 4842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4838 and 4842 is 2.

GCF(4838,4842) = 2

GCF of 4838 and 4842

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

GCF of:
and

Greatest Common Factor of 4838 and 4842

GCF of 4838 and 4842 is 2

Prime Factorization of 4838


2 4838
41 2419
59 59
1

Prime factors of 4838 are 2,41,59. Prime factorization of 4838 in exponential form is:

4838 = 21×411×591

Prime Factorization of 4842


2 4842
3 2421
3 807
269 269
1

Prime factors of 4842 are 2,3,269. Prime factorization of 4842 in exponential form is:

4842 = 21×32×2691

∴ So by taking common prime factors GCF of 4838 and 4842 is 2

Greatest Common Factor of 4838 and 4842 by matching factors method

Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1,2,41,59,82,118,2419,4838

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1,2,3,6,9,18,269,538,807,1614,2421,4842

Greatest Common Factor

We found the factors and prime factorization of 4838 and 4842. The biggest common factor number is the GCF number.
So the greatest common factor 4838 and 4842 is 2.

Also check out the Least Common Multiple of 4838 and 4842

Properties of GCF 4838 and 4842

(i) The GCF of 4838 and 4842 is associative

GCF of 4838 and 4842 = GCF of 4842 and 4838

Related Greatest Common Factor of 4838

Related Greatest Common Factor of 4842

Frequently Asked Questions on GCF of 4838 and 4842

1. What is the GCF of 4838 and 4842?

Answer: GCF of 4838 and 4842 is 2.

2. What are the Factors of 4838?

Answer: Factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838. There are 8 integers that are factors of 4838. The greatest factor of 4838 is 4838.

3. What are the Factors of 4842?

Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.

4. How to Find the GCF of 4838 and 4842?

Answer:

Greatest Common Factor of 4838 and 4842 = 2

Step 1: Find the prime factorization of 4838

4838 = 2 x 41 x 59

Step 2: Find the prime factorization of 4842

4842 = 2 x 3 x 3 x 269

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 4838 and 4842 is 2