Greatest Common Factor of 4832 and 4838

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 4832, 4838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4832 and 4838 is 2.

GCF(4832,4838) = 2

GCF of 4832 and 4838

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

GCF of:
and

Greatest Common Factor of 4832 and 4838

GCF of 4832 and 4838 is 2

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

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

∴ So by taking common prime factors GCF of 4832 and 4838 is 2

Greatest Common Factor of 4832 and 4838 by matching factors method

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1,2,4,8,16,32,151,302,604,1208,2416,4832

Factors of 4838

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

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

Greatest Common Factor

We found the factors and prime factorization of 4832 and 4838. The biggest common factor number is the GCF number.
So the greatest common factor 4832 and 4838 is 2.

Also check out the Least Common Multiple of 4832 and 4838

Properties of GCF 4832 and 4838

(i) The GCF of 4832 and 4838 is associative

GCF of 4832 and 4838 = GCF of 4838 and 4832

Related Greatest Common Factor of 4832

Related Greatest Common Factor of 4838

Frequently Asked Questions on GCF of 4832 and 4838

1. What is the GCF of 4832 and 4838?

Answer: GCF of 4832 and 4838 is 2.

2. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

3. 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.

4. How to Find the GCF of 4832 and 4838?

Answer:

Greatest Common Factor of 4832 and 4838 = 2

Step 1: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 4838

4838 = 2 x 41 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 4832 and 4838 is 2