Greatest Common Factor of 8344 and 8351

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, 8351 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8344 and 8351 is 7.

GCF(8344,8351) = 7

GCF of 8344 and 8351

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

GCF of:
and

Greatest Common Factor of 8344 and 8351

GCF of 8344 and 8351 is 7

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 8351


7 8351
1193 1193
1

Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:

8351 = 71×11931

∴ So by taking common prime factors GCF of 8344 and 8351 is 7

Greatest Common Factor of 8344 and 8351 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 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1,7,1193,8351

Greatest Common Factor

We found the factors and prime factorization of 8344 and 8351. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8351 is 7.

Also check out the Least Common Multiple of 8344 and 8351

Properties of GCF 8344 and 8351

(i) The GCF of 8344 and 8351 is associative

GCF of 8344 and 8351 = GCF of 8351 and 8344

Related Greatest Common Factor of 8344

Related Greatest Common Factor of 8351

Frequently Asked Questions on GCF of 8344 and 8351

1. What is the GCF of 8344 and 8351?

Answer: GCF of 8344 and 8351 is 7.

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 8351?

Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.

4. How to Find the GCF of 8344 and 8351?

Answer:

Greatest Common Factor of 8344 and 8351 = 7

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 8351

8351 = 7 x 1193

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8344 and 8351 is 7