Greatest Common Factor of 4815 and 4820

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 4815, 4820 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4815 and 4820 is 5.

GCF(4815,4820) = 5

GCF of 4815 and 4820

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

GCF of:
and

Greatest Common Factor of 4815 and 4820

GCF of 4815 and 4820 is 5

Prime Factorization of 4815


3 4815
3 1605
5 535
107 107
1

Prime factors of 4815 are 3,5,107. Prime factorization of 4815 in exponential form is:

4815 = 32×51×1071

Prime Factorization of 4820


2 4820
2 2410
5 1205
241 241
1

Prime factors of 4820 are 2,5,241. Prime factorization of 4820 in exponential form is:

4820 = 22×51×2411

∴ So by taking common prime factors GCF of 4815 and 4820 is 5

Greatest Common Factor of 4815 and 4820 by matching factors method

Factors of 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1,3,5,9,15,45,107,321,535,963,1605,4815

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

Greatest Common Factor

We found the factors and prime factorization of 4815 and 4820. The biggest common factor number is the GCF number.
So the greatest common factor 4815 and 4820 is 5.

Also check out the Least Common Multiple of 4815 and 4820

Properties of GCF 4815 and 4820

(i) The GCF of 4815 and 4820 is associative

GCF of 4815 and 4820 = GCF of 4820 and 4815

Related Greatest Common Factor of 4815

Related Greatest Common Factor of 4820

Frequently Asked Questions on GCF of 4815 and 4820

1. What is the GCF of 4815 and 4820?

Answer: GCF of 4815 and 4820 is 5.

2. What are the Factors of 4815?

Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.

3. What are the Factors of 4820?

Answer: Factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820. There are 12 integers that are factors of 4820. The greatest factor of 4820 is 4820.

4. How to Find the GCF of 4815 and 4820?

Answer:

Greatest Common Factor of 4815 and 4820 = 5

Step 1: Find the prime factorization of 4815

4815 = 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 4820

4820 = 2 x 2 x 5 x 241

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4815 and 4820 is 5