Greatest Common Factor of 1406 and 1409

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 1406, 1409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1406 and 1409 is 1.

GCF(1406,1409) = 1

GCF of 1406 and 1409

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

GCF of:
and

Greatest Common Factor of 1406 and 1409

GCF of 1406 and 1409 is 1

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2,19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

Prime Factorization of 1409


1409 1409
1

Prime factors of 1409 are 1409. Prime factorization of 1409 in exponential form is:

1409 = 14091

∴ So by taking common prime factors GCF of 1406 and 1409 is 1

Greatest Common Factor of 1406 and 1409 by matching factors method

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Factors of 1409

List of positive integer factors of 1409 that divides 1409 without a remainder.

1,1409

Greatest Common Factor

We found the factors and prime factorization of 1406 and 1409. The biggest common factor number is the GCF number.
So the greatest common factor 1406 and 1409 is 1.

Also check out the Least Common Multiple of 1406 and 1409

Properties of GCF 1406 and 1409

(i) The GCF of 1406 and 1409 is associative

GCF of 1406 and 1409 = GCF of 1409 and 1406

Related Greatest Common Factor of 1406

Related Greatest Common Factor of 1409

Frequently Asked Questions on GCF of 1406 and 1409

1. What is the GCF of 1406 and 1409?

Answer: GCF of 1406 and 1409 is 1.

2. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

3. What are the Factors of 1409?

Answer: Factors of 1409 are 1, 1409. There are 2 integers that are factors of 1409. The greatest factor of 1409 is 1409.

4. How to Find the GCF of 1406 and 1409?

Answer:

Greatest Common Factor of 1406 and 1409 = 1

Step 1: Find the prime factorization of 1406

1406 = 2 x 19 x 37

Step 2: Find the prime factorization of 1409

1409 = 1409

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 1406 and 1409 is 1