Greatest Common Factor of 8354 and 8360

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 8354, 8360 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8354 and 8360 is 2.

GCF(8354,8360) = 2

GCF of 8354 and 8360

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

GCF of:
and

Greatest Common Factor of 8354 and 8360

GCF of 8354 and 8360 is 2

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

Prime Factorization of 8360


2 8360
2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 8360 are 2,5,11,19. Prime factorization of 8360 in exponential form is:

8360 = 23×51×111×191

∴ So by taking common prime factors GCF of 8354 and 8360 is 2

Greatest Common Factor of 8354 and 8360 by matching factors method

Factors of 8354

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

1,2,4177,8354

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Greatest Common Factor

We found the factors and prime factorization of 8354 and 8360. The biggest common factor number is the GCF number.
So the greatest common factor 8354 and 8360 is 2.

Also check out the Least Common Multiple of 8354 and 8360

Properties of GCF 8354 and 8360

(i) The GCF of 8354 and 8360 is associative

GCF of 8354 and 8360 = GCF of 8360 and 8354

Related Greatest Common Factor of 8354

Related Greatest Common Factor of 8360

Frequently Asked Questions on GCF of 8354 and 8360

1. What is the GCF of 8354 and 8360?

Answer: GCF of 8354 and 8360 is 2.

2. 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.

3. What are the Factors of 8360?

Answer: Factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360. There are 32 integers that are factors of 8360. The greatest factor of 8360 is 8360.

4. How to Find the GCF of 8354 and 8360?

Answer:

Greatest Common Factor of 8354 and 8360 = 2

Step 1: Find the prime factorization of 8354

8354 = 2 x 4177

Step 2: Find the prime factorization of 8360

8360 = 2 x 2 x 2 x 5 x 11 x 19

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 8354 and 8360 is 2