Greatest Common Factor of 10300 and 10304

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 10300, 10304 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10300 and 10304 is 4.

GCF(10300,10304) = 4

GCF of 10300 and 10304

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

GCF of:
and

Greatest Common Factor of 10300 and 10304

GCF of 10300 and 10304 is 4

Prime Factorization of 10300


2 10300
2 5150
5 2575
5 515
103 103
1

Prime factors of 10300 are 2,5,103. Prime factorization of 10300 in exponential form is:

10300 = 22×52×1031

Prime Factorization of 10304


2 10304
2 5152
2 2576
2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 10304 are 2,7,23. Prime factorization of 10304 in exponential form is:

10304 = 26×71×231

∴ So by taking common prime factors GCF of 10300 and 10304 is 4

Greatest Common Factor of 10300 and 10304 by matching factors method

Factors of 10300

List of positive integer factors of 10300 that divides 10300 without a remainder.

1,2,4,5,10,20,25,50,100,103,206,412,515,1030,2060,2575,5150,10300

Factors of 10304

List of positive integer factors of 10304 that divides 10304 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,64,92,112,161,184,224,322,368,448,644,736,1288,1472,2576,5152,10304

Greatest Common Factor

We found the factors and prime factorization of 10300 and 10304. The biggest common factor number is the GCF number.
So the greatest common factor 10300 and 10304 is 4.

Also check out the Least Common Multiple of 10300 and 10304

Properties of GCF 10300 and 10304

(i) The GCF of 10300 and 10304 is associative

GCF of 10300 and 10304 = GCF of 10304 and 10300

Related Greatest Common Factor of 10300

Related Greatest Common Factor of 10304

Frequently Asked Questions on GCF of 10300 and 10304

1. What is the GCF of 10300 and 10304?

Answer: GCF of 10300 and 10304 is 4.

2. What are the Factors of 10300?

Answer: Factors of 10300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 206, 412, 515, 1030, 2060, 2575, 5150, 10300. There are 18 integers that are factors of 10300. The greatest factor of 10300 is 10300.

3. What are the Factors of 10304?

Answer: Factors of 10304 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 161, 184, 224, 322, 368, 448, 644, 736, 1288, 1472, 2576, 5152, 10304. There are 28 integers that are factors of 10304. The greatest factor of 10304 is 10304.

4. How to Find the GCF of 10300 and 10304?

Answer:

Greatest Common Factor of 10300 and 10304 = 4

Step 1: Find the prime factorization of 10300

10300 = 2 x 2 x 5 x 5 x 103

Step 2: Find the prime factorization of 10304

10304 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 23

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 10300 and 10304 is 4