Greatest Common Factor of 8342 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 8342, 8350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8342 and 8350 is 2.

GCF(8342,8350) = 2

GCF of 8342 and 8350

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

GCF of:
and

Greatest Common Factor of 8342 and 8350

GCF of 8342 and 8350 is 2

Prime Factorization of 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2,43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

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 8342 and 8350 is 2

Greatest Common Factor of 8342 and 8350 by matching factors method

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1,2,43,86,97,194,4171,8342

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 8342 and 8350. The biggest common factor number is the GCF number.
So the greatest common factor 8342 and 8350 is 2.

Also check out the Least Common Multiple of 8342 and 8350

Properties of GCF 8342 and 8350

(i) The GCF of 8342 and 8350 is associative

GCF of 8342 and 8350 = GCF of 8350 and 8342

Related Greatest Common Factor of 8342

Related Greatest Common Factor of 8350

Frequently Asked Questions on GCF of 8342 and 8350

1. What is the GCF of 8342 and 8350?

Answer: GCF of 8342 and 8350 is 2.

2. What are the Factors of 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

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 8342 and 8350?

Answer:

Greatest Common Factor of 8342 and 8350 = 2

Step 1: Find the prime factorization of 8342

8342 = 2 x 43 x 97

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 8342 and 8350 is 2