Greatest Common Factor of 2814 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 2814, 2820 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2814 and 2820 is 6.

GCF(2814,2820) = 6

GCF of 2814 and 2820

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

GCF of:
and

Greatest Common Factor of 2814 and 2820

GCF of 2814 and 2820 is 6

Prime Factorization of 2814


2 2814
3 1407
7 469
67 67
1

Prime factors of 2814 are 2,3,7,67. Prime factorization of 2814 in exponential form is:

2814 = 21×31×71×671

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 2814 and 2820 is 6

Greatest Common Factor of 2814 and 2820 by matching factors method

Factors of 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

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 2814 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2814 and 2820 is 6.

Also check out the Least Common Multiple of 2814 and 2820

Properties of GCF 2814 and 2820

(i) The GCF of 2814 and 2820 is associative

GCF of 2814 and 2820 = GCF of 2820 and 2814

Related Greatest Common Factor of 2814

Related Greatest Common Factor of 2820

Frequently Asked Questions on GCF of 2814 and 2820

1. What is the GCF of 2814 and 2820?

Answer: GCF of 2814 and 2820 is 6.

2. What are the Factors of 2814?

Answer: Factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814. There are 16 integers that are factors of 2814. The greatest factor of 2814 is 2814.

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 2814 and 2820?

Answer:

Greatest Common Factor of 2814 and 2820 = 6

Step 1: Find the prime factorization of 2814

2814 = 2 x 3 x 7 x 67

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2814 and 2820 is 6