Greatest Common Factor of 8350 and 8354

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 8350, 8354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8350 and 8354 is 2.

GCF(8350,8354) = 2

GCF of 8350 and 8354

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

GCF of:
and

Greatest Common Factor of 8350 and 8354

GCF of 8350 and 8354 is 2

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

Prime Factorization of 8354


2 8354
4177 4177
1

Prime factors of 8354 are 2,4177. Prime factorization of 8354 in exponential form is:

8354 = 21×41771

∴ So by taking common prime factors GCF of 8350 and 8354 is 2

Greatest Common Factor of 8350 and 8354 by matching factors method

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

Factors of 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1,2,4177,8354

Greatest Common Factor

We found the factors and prime factorization of 8350 and 8354. The biggest common factor number is the GCF number.
So the greatest common factor 8350 and 8354 is 2.

Also check out the Least Common Multiple of 8350 and 8354

Properties of GCF 8350 and 8354

(i) The GCF of 8350 and 8354 is associative

GCF of 8350 and 8354 = GCF of 8354 and 8350

Related Greatest Common Factor of 8350

Related Greatest Common Factor of 8354

Frequently Asked Questions on GCF of 8350 and 8354

1. What is the GCF of 8350 and 8354?

Answer: GCF of 8350 and 8354 is 2.

2. 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.

3. What are the Factors of 8354?

Answer: Factors of 8354 are 1, 2, 4177, 8354. There are 4 integers that are factors of 8354. The greatest factor of 8354 is 8354.

4. How to Find the GCF of 8350 and 8354?

Answer:

Greatest Common Factor of 8350 and 8354 = 2

Step 1: Find the prime factorization of 8350

8350 = 2 x 5 x 5 x 167

Step 2: Find the prime factorization of 8354

8354 = 2 x 4177

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 8350 and 8354 is 2