Greatest Common Factor of 4838 and 4846

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, 4846 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4838 and 4846 is 2.

GCF(4838,4846) = 2

GCF of 4838 and 4846

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

GCF of:
and

Greatest Common Factor of 4838 and 4846

GCF of 4838 and 4846 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 4846


2 4846
2423 2423
1

Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:

4846 = 21×24231

∴ So by taking common prime factors GCF of 4838 and 4846 is 2

Greatest Common Factor of 4838 and 4846 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 4846

List of positive integer factors of 4846 that divides 4846 without a remainder.

1,2,2423,4846

Greatest Common Factor

We found the factors and prime factorization of 4838 and 4846. The biggest common factor number is the GCF number.
So the greatest common factor 4838 and 4846 is 2.

Also check out the Least Common Multiple of 4838 and 4846

Properties of GCF 4838 and 4846

(i) The GCF of 4838 and 4846 is associative

GCF of 4838 and 4846 = GCF of 4846 and 4838

Frequently Asked Questions on GCF of 4838 and 4846

1. What is the GCF of 4838 and 4846?

Answer: GCF of 4838 and 4846 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 4846?

Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.

4. How to Find the GCF of 4838 and 4846?

Answer:

Greatest Common Factor of 4838 and 4846 = 2

Step 1: Find the prime factorization of 4838

4838 = 2 x 41 x 59

Step 2: Find the prime factorization of 4846

4846 = 2 x 2423

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 4846 is 2