Greatest Common Factor of 10404 and 10410

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 10404, 10410 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10404 and 10410 is 6.

GCF(10404,10410) = 6

GCF of 10404 and 10410

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

GCF of:
and

Greatest Common Factor of 10404 and 10410

GCF of 10404 and 10410 is 6

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

Prime Factorization of 10410


2 10410
3 5205
5 1735
347 347
1

Prime factors of 10410 are 2,3,5,347. Prime factorization of 10410 in exponential form is:

10410 = 21×31×51×3471

∴ So by taking common prime factors GCF of 10404 and 10410 is 6

Greatest Common Factor of 10404 and 10410 by matching factors method

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

Factors of 10410

List of positive integer factors of 10410 that divides 10410 without a remainder.

1,2,3,5,6,10,15,30,347,694,1041,1735,2082,3470,5205,10410

Greatest Common Factor

We found the factors and prime factorization of 10404 and 10410. The biggest common factor number is the GCF number.
So the greatest common factor 10404 and 10410 is 6.

Also check out the Least Common Multiple of 10404 and 10410

Properties of GCF 10404 and 10410

(i) The GCF of 10404 and 10410 is associative

GCF of 10404 and 10410 = GCF of 10410 and 10404

Related Greatest Common Factor of 10404

Related Greatest Common Factor of 10410

Frequently Asked Questions on GCF of 10404 and 10410

1. What is the GCF of 10404 and 10410?

Answer: GCF of 10404 and 10410 is 6.

2. 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.

3. What are the Factors of 10410?

Answer: Factors of 10410 are 1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410. There are 16 integers that are factors of 10410. The greatest factor of 10410 is 10410.

4. How to Find the GCF of 10404 and 10410?

Answer:

Greatest Common Factor of 10404 and 10410 = 6

Step 1: Find the prime factorization of 10404

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

Step 2: Find the prime factorization of 10410

10410 = 2 x 3 x 5 x 347

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 10404 and 10410 is 6