Greatest Common Factor of 4816 and 4823

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 4816, 4823 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4816 and 4823 is 7.

GCF(4816,4823) = 7

GCF of 4816 and 4823

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

GCF of:
and

Greatest Common Factor of 4816 and 4823

GCF of 4816 and 4823 is 7

Prime Factorization of 4816


2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 4816 are 2,7,43. Prime factorization of 4816 in exponential form is:

4816 = 24×71×431

Prime Factorization of 4823


7 4823
13 689
53 53
1

Prime factors of 4823 are 7,13,53. Prime factorization of 4823 in exponential form is:

4823 = 71×131×531

∴ So by taking common prime factors GCF of 4816 and 4823 is 7

Greatest Common Factor of 4816 and 4823 by matching factors method

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1,7,13,53,91,371,689,4823

Greatest Common Factor

We found the factors and prime factorization of 4816 and 4823. The biggest common factor number is the GCF number.
So the greatest common factor 4816 and 4823 is 7.

Also check out the Least Common Multiple of 4816 and 4823

Properties of GCF 4816 and 4823

(i) The GCF of 4816 and 4823 is associative

GCF of 4816 and 4823 = GCF of 4823 and 4816

Related Greatest Common Factor of 4816

Related Greatest Common Factor of 4823

Frequently Asked Questions on GCF of 4816 and 4823

1. What is the GCF of 4816 and 4823?

Answer: GCF of 4816 and 4823 is 7.

2. What are the Factors of 4816?

Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.

3. What are the Factors of 4823?

Answer: Factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823. There are 8 integers that are factors of 4823. The greatest factor of 4823 is 4823.

4. How to Find the GCF of 4816 and 4823?

Answer:

Greatest Common Factor of 4816 and 4823 = 7

Step 1: Find the prime factorization of 4816

4816 = 2 x 2 x 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 4823

4823 = 7 x 13 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4816 and 4823 is 7