Greatest Common Factor of 2815 and 2820

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 2815, 2820 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2815 and 2820 is 5.

GCF(2815,2820) = 5

GCF of 2815 and 2820

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

GCF of:
and

Greatest Common Factor of 2815 and 2820

GCF of 2815 and 2820 is 5

Prime Factorization of 2815


5 2815
563 563
1

Prime factors of 2815 are 5,563. Prime factorization of 2815 in exponential form is:

2815 = 51×5631

Prime Factorization of 2820


2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 2820 are 2,3,5,47. Prime factorization of 2820 in exponential form is:

2820 = 22×31×51×471

∴ So by taking common prime factors GCF of 2815 and 2820 is 5

Greatest Common Factor of 2815 and 2820 by matching factors method

Factors of 2815

List of positive integer factors of 2815 that divides 2815 without a remainder.

1,5,563,2815

Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820

Greatest Common Factor

We found the factors and prime factorization of 2815 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2815 and 2820 is 5.

Also check out the Least Common Multiple of 2815 and 2820

Properties of GCF 2815 and 2820

(i) The GCF of 2815 and 2820 is associative

GCF of 2815 and 2820 = GCF of 2820 and 2815

Related Greatest Common Factor of 2815

Related Greatest Common Factor of 2820

Frequently Asked Questions on GCF of 2815 and 2820

1. What is the GCF of 2815 and 2820?

Answer: GCF of 2815 and 2820 is 5.

2. What are the Factors of 2815?

Answer: Factors of 2815 are 1, 5, 563, 2815. There are 4 integers that are factors of 2815. The greatest factor of 2815 is 2815.

3. What are the Factors of 2820?

Answer: Factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820. There are 24 integers that are factors of 2820. The greatest factor of 2820 is 2820.

4. How to Find the GCF of 2815 and 2820?

Answer:

Greatest Common Factor of 2815 and 2820 = 5

Step 1: Find the prime factorization of 2815

2815 = 5 x 563

Step 2: Find the prime factorization of 2820

2820 = 2 x 2 x 3 x 5 x 47

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 2815 and 2820 is 5