Greatest Common Factor of 10302 and 10309

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 10302, 10309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10302 and 10309 is 1.

GCF(10302,10309) = 1

GCF of 10302 and 10309

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

GCF of:
and

Greatest Common Factor of 10302 and 10309

GCF of 10302 and 10309 is 1

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

Prime Factorization of 10309


13 10309
13 793
61 61
1

Prime factors of 10309 are 13,61. Prime factorization of 10309 in exponential form is:

10309 = 132×611

∴ So by taking common prime factors GCF of 10302 and 10309 is 1

Greatest Common Factor of 10302 and 10309 by matching factors method

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

Factors of 10309

List of positive integer factors of 10309 that divides 10309 without a remainder.

1,13,61,169,793,10309

Greatest Common Factor

We found the factors and prime factorization of 10302 and 10309. The biggest common factor number is the GCF number.
So the greatest common factor 10302 and 10309 is 1.

Also check out the Least Common Multiple of 10302 and 10309

Properties of GCF 10302 and 10309

(i) The GCF of 10302 and 10309 is associative

GCF of 10302 and 10309 = GCF of 10309 and 10302

Related Greatest Common Factor of 10302

Related Greatest Common Factor of 10309

Frequently Asked Questions on GCF of 10302 and 10309

1. What is the GCF of 10302 and 10309?

Answer: GCF of 10302 and 10309 is 1.

2. 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.

3. What are the Factors of 10309?

Answer: Factors of 10309 are 1, 13, 61, 169, 793, 10309. There are 6 integers that are factors of 10309. The greatest factor of 10309 is 10309.

4. How to Find the GCF of 10302 and 10309?

Answer:

Greatest Common Factor of 10302 and 10309 = 1

Step 1: Find the prime factorization of 10302

10302 = 2 x 3 x 17 x 101

Step 2: Find the prime factorization of 10309

10309 = 13 x 13 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10302 and 10309 is 1