Greatest Common Factor of 1405 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 1405, 1410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1405 and 1410 is 5.

GCF(1405,1410) = 5

GCF of 1405 and 1410

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

GCF of:
and

Greatest Common Factor of 1405 and 1410

GCF of 1405 and 1410 is 5

Prime Factorization of 1405


5 1405
281 281
1

Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:

1405 = 51×2811

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 1405 and 1410 is 5

Greatest Common Factor of 1405 and 1410 by matching factors method

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1,5,281,1405

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 1405 and 1410. The biggest common factor number is the GCF number.
So the greatest common factor 1405 and 1410 is 5.

Also check out the Least Common Multiple of 1405 and 1410

Properties of GCF 1405 and 1410

(i) The GCF of 1405 and 1410 is associative

GCF of 1405 and 1410 = GCF of 1410 and 1405

Related Greatest Common Factor of 1405

Related Greatest Common Factor of 1410

Frequently Asked Questions on GCF of 1405 and 1410

1. What is the GCF of 1405 and 1410?

Answer: GCF of 1405 and 1410 is 5.

2. What are the Factors of 1405?

Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.

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 1405 and 1410?

Answer:

Greatest Common Factor of 1405 and 1410 = 5

Step 1: Find the prime factorization of 1405

1405 = 5 x 281

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 = 5

Step 4: Therefore, the greatest common factor of 1405 and 1410 is 5