Greatest Common Factor of 1399 and 1406

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 1399, 1406 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1399 and 1406 is 1.

GCF(1399,1406) = 1

GCF of 1399 and 1406

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

GCF of:
and

Greatest Common Factor of 1399 and 1406

GCF of 1399 and 1406 is 1

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Prime Factorization of 1406


2 1406
19 703
37 37
1

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

1406 = 21×191×371

∴ So by taking common prime factors GCF of 1399 and 1406 is 1

Greatest Common Factor of 1399 and 1406 by matching factors method

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1,1399

Factors of 1406

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

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

Greatest Common Factor

We found the factors and prime factorization of 1399 and 1406. The biggest common factor number is the GCF number.
So the greatest common factor 1399 and 1406 is 1.

Also check out the Least Common Multiple of 1399 and 1406

Properties of GCF 1399 and 1406

(i) The GCF of 1399 and 1406 is associative

GCF of 1399 and 1406 = GCF of 1406 and 1399

Related Greatest Common Factor of 1399

Related Greatest Common Factor of 1406

Frequently Asked Questions on GCF of 1399 and 1406

1. What is the GCF of 1399 and 1406?

Answer: GCF of 1399 and 1406 is 1.

2. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

3. 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.

4. How to Find the GCF of 1399 and 1406?

Answer:

Greatest Common Factor of 1399 and 1406 = 1

Step 1: Find the prime factorization of 1399

1399 = 1399

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

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 1399 and 1406 is 1