Greatest Common Factor of 8428 and 8430

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 8428, 8430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8428 and 8430 is 2.

GCF(8428,8430) = 2

GCF of 8428 and 8430

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

GCF of:
and

Greatest Common Factor of 8428 and 8430

GCF of 8428 and 8430 is 2

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

Prime Factorization of 8430


2 8430
3 4215
5 1405
281 281
1

Prime factors of 8430 are 2,3,5,281. Prime factorization of 8430 in exponential form is:

8430 = 21×31×51×2811

∴ So by taking common prime factors GCF of 8428 and 8430 is 2

Greatest Common Factor of 8428 and 8430 by matching factors method

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

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Greatest Common Factor

We found the factors and prime factorization of 8428 and 8430. The biggest common factor number is the GCF number.
So the greatest common factor 8428 and 8430 is 2.

Also check out the Least Common Multiple of 8428 and 8430

Properties of GCF 8428 and 8430

(i) The GCF of 8428 and 8430 is associative

GCF of 8428 and 8430 = GCF of 8430 and 8428

Related Greatest Common Factor of 8428

Related Greatest Common Factor of 8430

Frequently Asked Questions on GCF of 8428 and 8430

1. What is the GCF of 8428 and 8430?

Answer: GCF of 8428 and 8430 is 2.

2. 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.

3. What are the Factors of 8430?

Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.

4. How to Find the GCF of 8428 and 8430?

Answer:

Greatest Common Factor of 8428 and 8430 = 2

Step 1: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

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 8428 and 8430 is 2