Greatest Common Factor of 1391 and 1399

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 1391, 1399 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1391 and 1399 is 1.

GCF(1391,1399) = 1

GCF of 1391 and 1399

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

GCF of:
and

Greatest Common Factor of 1391 and 1399

GCF of 1391 and 1399 is 1

Prime Factorization of 1391


13 1391
107 107
1

Prime factors of 1391 are 13,107. Prime factorization of 1391 in exponential form is:

1391 = 131×1071

Prime Factorization of 1399


1399 1399
1

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

1399 = 13991

∴ So by taking common prime factors GCF of 1391 and 1399 is 1

Greatest Common Factor of 1391 and 1399 by matching factors method

Factors of 1391

List of positive integer factors of 1391 that divides 1391 without a remainder.

1,13,107,1391

Factors of 1399

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

1,1399

Greatest Common Factor

We found the factors and prime factorization of 1391 and 1399. The biggest common factor number is the GCF number.
So the greatest common factor 1391 and 1399 is 1.

Also check out the Least Common Multiple of 1391 and 1399

Properties of GCF 1391 and 1399

(i) The GCF of 1391 and 1399 is associative

GCF of 1391 and 1399 = GCF of 1399 and 1391

Frequently Asked Questions on GCF of 1391 and 1399

1. What is the GCF of 1391 and 1399?

Answer: GCF of 1391 and 1399 is 1.

2. What are the Factors of 1391?

Answer: Factors of 1391 are 1, 13, 107, 1391. There are 4 integers that are factors of 1391. The greatest factor of 1391 is 1391.

3. 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.

4. How to Find the GCF of 1391 and 1399?

Answer:

Greatest Common Factor of 1391 and 1399 = 1

Step 1: Find the prime factorization of 1391

1391 = 13 x 107

Step 2: Find the prime factorization of 1399

1399 = 1399

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 1391 and 1399 is 1