Greatest Common Factor of 2814 and 2821

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, 2821 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2814 and 2821 is 7.

GCF(2814,2821) = 7

GCF of 2814 and 2821

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

GCF of:
and

Greatest Common Factor of 2814 and 2821

GCF of 2814 and 2821 is 7

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 2821


7 2821
13 403
31 31
1

Prime factors of 2821 are 7,13,31. Prime factorization of 2821 in exponential form is:

2821 = 71×131×311

∴ So by taking common prime factors GCF of 2814 and 2821 is 7

Greatest Common Factor of 2814 and 2821 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 2821

List of positive integer factors of 2821 that divides 2821 without a remainder.

1,7,13,31,91,217,403,2821

Greatest Common Factor

We found the factors and prime factorization of 2814 and 2821. The biggest common factor number is the GCF number.
So the greatest common factor 2814 and 2821 is 7.

Also check out the Least Common Multiple of 2814 and 2821

Properties of GCF 2814 and 2821

(i) The GCF of 2814 and 2821 is associative

GCF of 2814 and 2821 = GCF of 2821 and 2814

Related Greatest Common Factor of 2814

Related Greatest Common Factor of 2821

Frequently Asked Questions on GCF of 2814 and 2821

1. What is the GCF of 2814 and 2821?

Answer: GCF of 2814 and 2821 is 7.

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 2821?

Answer: Factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821. There are 8 integers that are factors of 2821. The greatest factor of 2821 is 2821.

4. How to Find the GCF of 2814 and 2821?

Answer:

Greatest Common Factor of 2814 and 2821 = 7

Step 1: Find the prime factorization of 2814

2814 = 2 x 3 x 7 x 67

Step 2: Find the prime factorization of 2821

2821 = 7 x 13 x 31

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 2814 and 2821 is 7