Greatest Common Factor of 8421 and 8428

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, 8428 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8421 and 8428 is 7.

GCF(8421,8428) = 7

GCF of 8421 and 8428

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

GCF of:
and

Greatest Common Factor of 8421 and 8428

GCF of 8421 and 8428 is 7

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 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2,7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

∴ So by taking common prime factors GCF of 8421 and 8428 is 7

Greatest Common Factor of 8421 and 8428 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 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428

Greatest Common Factor

We found the factors and prime factorization of 8421 and 8428. The biggest common factor number is the GCF number.
So the greatest common factor 8421 and 8428 is 7.

Also check out the Least Common Multiple of 8421 and 8428

Properties of GCF 8421 and 8428

(i) The GCF of 8421 and 8428 is associative

GCF of 8421 and 8428 = GCF of 8428 and 8421

Related Greatest Common Factor of 8421

Related Greatest Common Factor of 8428

Frequently Asked Questions on GCF of 8421 and 8428

1. What is the GCF of 8421 and 8428?

Answer: GCF of 8421 and 8428 is 7.

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 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

4. How to Find the GCF of 8421 and 8428?

Answer:

Greatest Common Factor of 8421 and 8428 = 7

Step 1: Find the prime factorization of 8421

8421 = 3 x 7 x 401

Step 2: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

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 8421 and 8428 is 7