Greatest Common Factor of 8438 and 8446

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 8438, 8446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8438 and 8446 is 2.

GCF(8438,8446) = 2

GCF of 8438 and 8446

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

GCF of:
and

Greatest Common Factor of 8438 and 8446

GCF of 8438 and 8446 is 2

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

Prime Factorization of 8446


2 8446
41 4223
103 103
1

Prime factors of 8446 are 2,41,103. Prime factorization of 8446 in exponential form is:

8446 = 21×411×1031

∴ So by taking common prime factors GCF of 8438 and 8446 is 2

Greatest Common Factor of 8438 and 8446 by matching factors method

Factors of 8438

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

1,2,4219,8438

Factors of 8446

List of positive integer factors of 8446 that divides 8446 without a remainder.

1,2,41,82,103,206,4223,8446

Greatest Common Factor

We found the factors and prime factorization of 8438 and 8446. The biggest common factor number is the GCF number.
So the greatest common factor 8438 and 8446 is 2.

Also check out the Least Common Multiple of 8438 and 8446

Properties of GCF 8438 and 8446

(i) The GCF of 8438 and 8446 is associative

GCF of 8438 and 8446 = GCF of 8446 and 8438

Related Greatest Common Factor of 8438

Related Greatest Common Factor of 8446

Frequently Asked Questions on GCF of 8438 and 8446

1. What is the GCF of 8438 and 8446?

Answer: GCF of 8438 and 8446 is 2.

2. 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.

3. What are the Factors of 8446?

Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.

4. How to Find the GCF of 8438 and 8446?

Answer:

Greatest Common Factor of 8438 and 8446 = 2

Step 1: Find the prime factorization of 8438

8438 = 2 x 4219

Step 2: Find the prime factorization of 8446

8446 = 2 x 41 x 103

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 8438 and 8446 is 2