Greatest Common Factor of 10402 and 10404

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 10402, 10404 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10402 and 10404 is 2.

GCF(10402,10404) = 2

GCF of 10402 and 10404

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

GCF of:
and

Greatest Common Factor of 10402 and 10404

GCF of 10402 and 10404 is 2

Prime Factorization of 10402


2 10402
7 5201
743 743
1

Prime factors of 10402 are 2,7,743. Prime factorization of 10402 in exponential form is:

10402 = 21×71×7431

Prime Factorization of 10404


2 10404
2 5202
3 2601
3 867
17 289
17 17
1

Prime factors of 10404 are 2,3,17. Prime factorization of 10404 in exponential form is:

10404 = 22×32×172

∴ So by taking common prime factors GCF of 10402 and 10404 is 2

Greatest Common Factor of 10402 and 10404 by matching factors method

Factors of 10402

List of positive integer factors of 10402 that divides 10402 without a remainder.

1,2,7,14,743,1486,5201,10402

Factors of 10404

List of positive integer factors of 10404 that divides 10404 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,289,306,578,612,867,1156,1734,2601,3468,5202,10404

Greatest Common Factor

We found the factors and prime factorization of 10402 and 10404. The biggest common factor number is the GCF number.
So the greatest common factor 10402 and 10404 is 2.

Also check out the Least Common Multiple of 10402 and 10404

Properties of GCF 10402 and 10404

(i) The GCF of 10402 and 10404 is associative

GCF of 10402 and 10404 = GCF of 10404 and 10402

Related Greatest Common Factor of 10402

Related Greatest Common Factor of 10404

Frequently Asked Questions on GCF of 10402 and 10404

1. What is the GCF of 10402 and 10404?

Answer: GCF of 10402 and 10404 is 2.

2. What are the Factors of 10402?

Answer: Factors of 10402 are 1, 2, 7, 14, 743, 1486, 5201, 10402. There are 8 integers that are factors of 10402. The greatest factor of 10402 is 10402.

3. What are the Factors of 10404?

Answer: Factors of 10404 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1156, 1734, 2601, 3468, 5202, 10404. There are 27 integers that are factors of 10404. The greatest factor of 10404 is 10404.

4. How to Find the GCF of 10402 and 10404?

Answer:

Greatest Common Factor of 10402 and 10404 = 2

Step 1: Find the prime factorization of 10402

10402 = 2 x 7 x 743

Step 2: Find the prime factorization of 10404

10404 = 2 x 2 x 3 x 3 x 17 x 17

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 10402 and 10404 is 2