Greatest Common Factor of 8300 and 8305

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, 8305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8300 and 8305 is 5.

GCF(8300,8305) = 5

GCF of 8300 and 8305

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

GCF of:
and

Greatest Common Factor of 8300 and 8305

GCF of 8300 and 8305 is 5

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 8305


5 8305
11 1661
151 151
1

Prime factors of 8305 are 5,11,151. Prime factorization of 8305 in exponential form is:

8305 = 51×111×1511

∴ So by taking common prime factors GCF of 8300 and 8305 is 5

Greatest Common Factor of 8300 and 8305 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 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1,5,11,55,151,755,1661,8305

Greatest Common Factor

We found the factors and prime factorization of 8300 and 8305. The biggest common factor number is the GCF number.
So the greatest common factor 8300 and 8305 is 5.

Also check out the Least Common Multiple of 8300 and 8305

Properties of GCF 8300 and 8305

(i) The GCF of 8300 and 8305 is associative

GCF of 8300 and 8305 = GCF of 8305 and 8300

Related Greatest Common Factor of 8300

Related Greatest Common Factor of 8305

Frequently Asked Questions on GCF of 8300 and 8305

1. What is the GCF of 8300 and 8305?

Answer: GCF of 8300 and 8305 is 5.

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 8305?

Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.

4. How to Find the GCF of 8300 and 8305?

Answer:

Greatest Common Factor of 8300 and 8305 = 5

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 8305

8305 = 5 x 11 x 151

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8300 and 8305 is 5