Greatest Common Factor of 8344 and 8350

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 8344, 8350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8344 and 8350 is 2.

GCF(8344,8350) = 2

GCF of 8344 and 8350

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

GCF of:
and

Greatest Common Factor of 8344 and 8350

GCF of 8344 and 8350 is 2

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2,7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

Prime Factorization of 8350


2 8350
5 4175
5 835
167 167
1

Prime factors of 8350 are 2,5,167. Prime factorization of 8350 in exponential form is:

8350 = 21×52×1671

∴ So by taking common prime factors GCF of 8344 and 8350 is 2

Greatest Common Factor of 8344 and 8350 by matching factors method

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1,2,5,10,25,50,167,334,835,1670,4175,8350

Greatest Common Factor

We found the factors and prime factorization of 8344 and 8350. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8350 is 2.

Also check out the Least Common Multiple of 8344 and 8350

Properties of GCF 8344 and 8350

(i) The GCF of 8344 and 8350 is associative

GCF of 8344 and 8350 = GCF of 8350 and 8344

Related Greatest Common Factor of 8344

Related Greatest Common Factor of 8350

Frequently Asked Questions on GCF of 8344 and 8350

1. What is the GCF of 8344 and 8350?

Answer: GCF of 8344 and 8350 is 2.

2. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

3. What are the Factors of 8350?

Answer: Factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350. There are 12 integers that are factors of 8350. The greatest factor of 8350 is 8350.

4. How to Find the GCF of 8344 and 8350?

Answer:

Greatest Common Factor of 8344 and 8350 = 2

Step 1: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 8350

8350 = 2 x 5 x 5 x 167

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 8344 and 8350 is 2