Greatest Common Factor of 1403 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 1403, 1410 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1403 and 1410 is 1.

GCF(1403,1410) = 1

GCF of 1403 and 1410

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

GCF of:
and

Greatest Common Factor of 1403 and 1410

GCF of 1403 and 1410 is 1

Prime Factorization of 1403


23 1403
61 61
1

Prime factors of 1403 are 23,61. Prime factorization of 1403 in exponential form is:

1403 = 231×611

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 1403 and 1410 is 1

Greatest Common Factor of 1403 and 1410 by matching factors method

Factors of 1403

List of positive integer factors of 1403 that divides 1403 without a remainder.

1,23,61,1403

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 1403 and 1410. The biggest common factor number is the GCF number.
So the greatest common factor 1403 and 1410 is 1.

Also check out the Least Common Multiple of 1403 and 1410

Properties of GCF 1403 and 1410

(i) The GCF of 1403 and 1410 is associative

GCF of 1403 and 1410 = GCF of 1410 and 1403

Related Greatest Common Factor of 1403

Related Greatest Common Factor of 1410

Frequently Asked Questions on GCF of 1403 and 1410

1. What is the GCF of 1403 and 1410?

Answer: GCF of 1403 and 1410 is 1.

2. What are the Factors of 1403?

Answer: Factors of 1403 are 1, 23, 61, 1403. There are 4 integers that are factors of 1403. The greatest factor of 1403 is 1403.

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 1403 and 1410?

Answer:

Greatest Common Factor of 1403 and 1410 = 1

Step 1: Find the prime factorization of 1403

1403 = 23 x 61

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 = = 1

Step 4: Therefore, the greatest common factor of 1403 and 1410 is 1