Greatest Common Factor of 8300 and 8304

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 8300, 8304 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8300 and 8304 is 4.

GCF(8300,8304) = 4

GCF of 8300 and 8304

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

GCF of:
and

Greatest Common Factor of 8300 and 8304

GCF of 8300 and 8304 is 4

Prime Factorization of 8300


2 8300
2 4150
5 2075
5 415
83 83
1

Prime factors of 8300 are 2,5,83. Prime factorization of 8300 in exponential form is:

8300 = 22×52×831

Prime Factorization of 8304


2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 8304 are 2,3,173. Prime factorization of 8304 in exponential form is:

8304 = 24×31×1731

∴ So by taking common prime factors GCF of 8300 and 8304 is 4

Greatest Common Factor of 8300 and 8304 by matching factors method

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors and prime factorization of 8300 and 8304. The biggest common factor number is the GCF number.
So the greatest common factor 8300 and 8304 is 4.

Also check out the Least Common Multiple of 8300 and 8304

Properties of GCF 8300 and 8304

(i) The GCF of 8300 and 8304 is associative

GCF of 8300 and 8304 = GCF of 8304 and 8300

Related Greatest Common Factor of 8300

Related Greatest Common Factor of 8304

Frequently Asked Questions on GCF of 8300 and 8304

1. What is the GCF of 8300 and 8304?

Answer: GCF of 8300 and 8304 is 4.

2. What are the Factors of 8300?

Answer: Factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300. There are 18 integers that are factors of 8300. The greatest factor of 8300 is 8300.

3. What are the Factors of 8304?

Answer: Factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304. There are 20 integers that are factors of 8304. The greatest factor of 8304 is 8304.

4. How to Find the GCF of 8300 and 8304?

Answer:

Greatest Common Factor of 8300 and 8304 = 4

Step 1: Find the prime factorization of 8300

8300 = 2 x 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 8304

8304 = 2 x 2 x 2 x 2 x 3 x 173

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8300 and 8304 is 4