Greatest Common Factor of 8430 and 8438

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 8430, 8438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8430 and 8438 is 2.

GCF(8430,8438) = 2

GCF of 8430 and 8438

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

GCF of:
and

Greatest Common Factor of 8430 and 8438

GCF of 8430 and 8438 is 2

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

Prime Factorization of 8438


2 8438
4219 4219
1

Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:

8438 = 21×42191

∴ So by taking common prime factors GCF of 8430 and 8438 is 2

Greatest Common Factor of 8430 and 8438 by matching factors method

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

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Greatest Common Factor

We found the factors and prime factorization of 8430 and 8438. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8438 is 2.

Also check out the Least Common Multiple of 8430 and 8438

Properties of GCF 8430 and 8438

(i) The GCF of 8430 and 8438 is associative

GCF of 8430 and 8438 = GCF of 8438 and 8430

Related Greatest Common Factor of 8430

Related Greatest Common Factor of 8438

Frequently Asked Questions on GCF of 8430 and 8438

1. What is the GCF of 8430 and 8438?

Answer: GCF of 8430 and 8438 is 2.

2. 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.

3. What are the Factors of 8438?

Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.

4. How to Find the GCF of 8430 and 8438?

Answer:

Greatest Common Factor of 8430 and 8438 = 2

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8438

8438 = 2 x 4219

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 8430 and 8438 is 2