Greatest Common Factor of 8421 and 8427

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 8421, 8427 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8421 and 8427 is 3.

GCF(8421,8427) = 3

GCF of 8421 and 8427

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

GCF of:
and

Greatest Common Factor of 8421 and 8427

GCF of 8421 and 8427 is 3

Prime Factorization of 8421


3 8421
7 2807
401 401
1

Prime factors of 8421 are 3,7,401. Prime factorization of 8421 in exponential form is:

8421 = 31×71×4011

Prime Factorization of 8427


3 8427
53 2809
53 53
1

Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:

8427 = 31×532

∴ So by taking common prime factors GCF of 8421 and 8427 is 3

Greatest Common Factor of 8421 and 8427 by matching factors method

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1,3,53,159,2809,8427

Greatest Common Factor

We found the factors and prime factorization of 8421 and 8427. The biggest common factor number is the GCF number.
So the greatest common factor 8421 and 8427 is 3.

Also check out the Least Common Multiple of 8421 and 8427

Properties of GCF 8421 and 8427

(i) The GCF of 8421 and 8427 is associative

GCF of 8421 and 8427 = GCF of 8427 and 8421

Related Greatest Common Factor of 8421

Related Greatest Common Factor of 8427

Frequently Asked Questions on GCF of 8421 and 8427

1. What is the GCF of 8421 and 8427?

Answer: GCF of 8421 and 8427 is 3.

2. What are the Factors of 8421?

Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.

3. What are the Factors of 8427?

Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.

4. How to Find the GCF of 8421 and 8427?

Answer:

Greatest Common Factor of 8421 and 8427 = 3

Step 1: Find the prime factorization of 8421

8421 = 3 x 7 x 401

Step 2: Find the prime factorization of 8427

8427 = 3 x 53 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8421 and 8427 is 3