Greatest Common Factor of 1404 and 1410

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 1404, 1410 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1404 and 1410 is 6.

GCF(1404,1410) = 6

GCF of 1404 and 1410

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

GCF of:
and

Greatest Common Factor of 1404 and 1410

GCF of 1404 and 1410 is 6

Prime Factorization of 1404


2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 1404 are 2,3,13. Prime factorization of 1404 in exponential form is:

1404 = 22×33×131

Prime Factorization of 1410


2 1410
3 705
5 235
47 47
1

Prime factors of 1410 are 2,3,5,47. Prime factorization of 1410 in exponential form is:

1410 = 21×31×51×471

∴ So by taking common prime factors GCF of 1404 and 1410 is 6

Greatest Common Factor of 1404 and 1410 by matching factors method

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Factors of 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410

Greatest Common Factor

We found the factors and prime factorization of 1404 and 1410. The biggest common factor number is the GCF number.
So the greatest common factor 1404 and 1410 is 6.

Also check out the Least Common Multiple of 1404 and 1410

Properties of GCF 1404 and 1410

(i) The GCF of 1404 and 1410 is associative

GCF of 1404 and 1410 = GCF of 1410 and 1404

Related Greatest Common Factor of 1404

Related Greatest Common Factor of 1410

Frequently Asked Questions on GCF of 1404 and 1410

1. What is the GCF of 1404 and 1410?

Answer: GCF of 1404 and 1410 is 6.

2. What are the Factors of 1404?

Answer: Factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404. There are 24 integers that are factors of 1404. The greatest factor of 1404 is 1404.

3. What are the Factors of 1410?

Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.

4. How to Find the GCF of 1404 and 1410?

Answer:

Greatest Common Factor of 1404 and 1410 = 6

Step 1: Find the prime factorization of 1404

1404 = 2 x 2 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 1410

1410 = 2 x 3 x 5 x 47

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 1404 and 1410 is 6