Greatest Common Factor of 4808 and 4810

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 4808, 4810 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4808 and 4810 is 2.

GCF(4808,4810) = 2

GCF of 4808 and 4810

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

GCF of:
and

Greatest Common Factor of 4808 and 4810

GCF of 4808 and 4810 is 2

Prime Factorization of 4808


2 4808
2 2404
2 1202
601 601
1

Prime factors of 4808 are 2,601. Prime factorization of 4808 in exponential form is:

4808 = 23×6011

Prime Factorization of 4810


2 4810
5 2405
13 481
37 37
1

Prime factors of 4810 are 2,5,13,37. Prime factorization of 4810 in exponential form is:

4810 = 21×51×131×371

∴ So by taking common prime factors GCF of 4808 and 4810 is 2

Greatest Common Factor of 4808 and 4810 by matching factors method

Factors of 4808

List of positive integer factors of 4808 that divides 4808 without a remainder.

1,2,4,8,601,1202,2404,4808

Factors of 4810

List of positive integer factors of 4810 that divides 4810 without a remainder.

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Greatest Common Factor

We found the factors and prime factorization of 4808 and 4810. The biggest common factor number is the GCF number.
So the greatest common factor 4808 and 4810 is 2.

Also check out the Least Common Multiple of 4808 and 4810

Properties of GCF 4808 and 4810

(i) The GCF of 4808 and 4810 is associative

GCF of 4808 and 4810 = GCF of 4810 and 4808

Related Greatest Common Factor of 4808

Related Greatest Common Factor of 4810

Frequently Asked Questions on GCF of 4808 and 4810

1. What is the GCF of 4808 and 4810?

Answer: GCF of 4808 and 4810 is 2.

2. What are the Factors of 4808?

Answer: Factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808. There are 8 integers that are factors of 4808. The greatest factor of 4808 is 4808.

3. What are the Factors of 4810?

Answer: Factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810. There are 16 integers that are factors of 4810. The greatest factor of 4810 is 4810.

4. How to Find the GCF of 4808 and 4810?

Answer:

Greatest Common Factor of 4808 and 4810 = 2

Step 1: Find the prime factorization of 4808

4808 = 2 x 2 x 2 x 601

Step 2: Find the prime factorization of 4810

4810 = 2 x 5 x 13 x 37

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 4808 and 4810 is 2