Greatest Common Factor of 10300 and 10302

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, 10302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10300 and 10302 is 2.

GCF(10300,10302) = 2

GCF of 10300 and 10302

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

GCF of:
and

Greatest Common Factor of 10300 and 10302

GCF of 10300 and 10302 is 2

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 10302


2 10302
3 5151
17 1717
101 101
1

Prime factors of 10302 are 2,3,17,101. Prime factorization of 10302 in exponential form is:

10302 = 21×31×171×1011

∴ So by taking common prime factors GCF of 10300 and 10302 is 2

Greatest Common Factor of 10300 and 10302 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 10302

List of positive integer factors of 10302 that divides 10302 without a remainder.

1,2,3,6,17,34,51,101,102,202,303,606,1717,3434,5151,10302

Greatest Common Factor

We found the factors and prime factorization of 10300 and 10302. The biggest common factor number is the GCF number.
So the greatest common factor 10300 and 10302 is 2.

Also check out the Least Common Multiple of 10300 and 10302

Properties of GCF 10300 and 10302

(i) The GCF of 10300 and 10302 is associative

GCF of 10300 and 10302 = GCF of 10302 and 10300

Related Greatest Common Factor of 10300

Related Greatest Common Factor of 10302

Frequently Asked Questions on GCF of 10300 and 10302

1. What is the GCF of 10300 and 10302?

Answer: GCF of 10300 and 10302 is 2.

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 10302?

Answer: Factors of 10302 are 1, 2, 3, 6, 17, 34, 51, 101, 102, 202, 303, 606, 1717, 3434, 5151, 10302. There are 16 integers that are factors of 10302. The greatest factor of 10302 is 10302.

4. How to Find the GCF of 10300 and 10302?

Answer:

Greatest Common Factor of 10300 and 10302 = 2

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 10302

10302 = 2 x 3 x 17 x 101

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 10300 and 10302 is 2