Greatest Common Factor of 8426 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 8426, 8428 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8426 and 8428 is 2.

GCF(8426,8428) = 2

GCF of 8426 and 8428

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

GCF of:
and

Greatest Common Factor of 8426 and 8428

GCF of 8426 and 8428 is 2

Prime Factorization of 8426


2 8426
11 4213
383 383
1

Prime factors of 8426 are 2,11,383. Prime factorization of 8426 in exponential form is:

8426 = 21×111×3831

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 8426 and 8428 is 2

Greatest Common Factor of 8426 and 8428 by matching factors method

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

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 8426 and 8428. The biggest common factor number is the GCF number.
So the greatest common factor 8426 and 8428 is 2.

Also check out the Least Common Multiple of 8426 and 8428

Properties of GCF 8426 and 8428

(i) The GCF of 8426 and 8428 is associative

GCF of 8426 and 8428 = GCF of 8428 and 8426

Related Greatest Common Factor of 8426

Related Greatest Common Factor of 8428

Frequently Asked Questions on GCF of 8426 and 8428

1. What is the GCF of 8426 and 8428?

Answer: GCF of 8426 and 8428 is 2.

2. What are the Factors of 8426?

Answer: Factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426. There are 8 integers that are factors of 8426. The greatest factor of 8426 is 8426.

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 8426 and 8428?

Answer:

Greatest Common Factor of 8426 and 8428 = 2

Step 1: Find the prime factorization of 8426

8426 = 2 x 11 x 383

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 = 2

Step 4: Therefore, the greatest common factor of 8426 and 8428 is 2