Greatest Common Factor of 7814 and 7821

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 7814, 7821 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7814 and 7821 is 1.

GCF(7814,7821) = 1

GCF of 7814 and 7821

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

GCF of:
and

Greatest Common Factor of 7814 and 7821

GCF of 7814 and 7821 is 1

Prime Factorization of 7814


2 7814
3907 3907
1

Prime factors of 7814 are 2,3907. Prime factorization of 7814 in exponential form is:

7814 = 21×39071

Prime Factorization of 7821


3 7821
3 2607
11 869
79 79
1

Prime factors of 7821 are 3,11,79. Prime factorization of 7821 in exponential form is:

7821 = 32×111×791

∴ So by taking common prime factors GCF of 7814 and 7821 is 1

Greatest Common Factor of 7814 and 7821 by matching factors method

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1,2,3907,7814

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors and prime factorization of 7814 and 7821. The biggest common factor number is the GCF number.
So the greatest common factor 7814 and 7821 is 1.

Also check out the Least Common Multiple of 7814 and 7821

Properties of GCF 7814 and 7821

(i) The GCF of 7814 and 7821 is associative

GCF of 7814 and 7821 = GCF of 7821 and 7814

Related Greatest Common Factor of 7814

Related Greatest Common Factor of 7821

Frequently Asked Questions on GCF of 7814 and 7821

1. What is the GCF of 7814 and 7821?

Answer: GCF of 7814 and 7821 is 1.

2. What are the Factors of 7814?

Answer: Factors of 7814 are 1, 2, 3907, 7814. There are 4 integers that are factors of 7814. The greatest factor of 7814 is 7814.

3. What are the Factors of 7821?

Answer: Factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821. There are 12 integers that are factors of 7821. The greatest factor of 7821 is 7821.

4. How to Find the GCF of 7814 and 7821?

Answer:

Greatest Common Factor of 7814 and 7821 = 1

Step 1: Find the prime factorization of 7814

7814 = 2 x 3907

Step 2: Find the prime factorization of 7821

7821 = 3 x 3 x 11 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7814 and 7821 is 1