Greatest Common Factor of 1401 and 1405

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 1401, 1405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1401 and 1405 is 1.

GCF(1401,1405) = 1

GCF of 1401 and 1405

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

GCF of:
and

Greatest Common Factor of 1401 and 1405

GCF of 1401 and 1405 is 1

Prime Factorization of 1401


3 1401
467 467
1

Prime factors of 1401 are 3,467. Prime factorization of 1401 in exponential form is:

1401 = 31×4671

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

∴ So by taking common prime factors GCF of 1401 and 1405 is 1

Greatest Common Factor of 1401 and 1405 by matching factors method

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1,3,467,1401

Factors of 1405

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

1,5,281,1405

Greatest Common Factor

We found the factors and prime factorization of 1401 and 1405. The biggest common factor number is the GCF number.
So the greatest common factor 1401 and 1405 is 1.

Also check out the Least Common Multiple of 1401 and 1405

Properties of GCF 1401 and 1405

(i) The GCF of 1401 and 1405 is associative

GCF of 1401 and 1405 = GCF of 1405 and 1401

Related Greatest Common Factor of 1401

Related Greatest Common Factor of 1405

Frequently Asked Questions on GCF of 1401 and 1405

1. What is the GCF of 1401 and 1405?

Answer: GCF of 1401 and 1405 is 1.

2. What are the Factors of 1401?

Answer: Factors of 1401 are 1, 3, 467, 1401. There are 4 integers that are factors of 1401. The greatest factor of 1401 is 1401.

3. 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.

4. How to Find the GCF of 1401 and 1405?

Answer:

Greatest Common Factor of 1401 and 1405 = 1

Step 1: Find the prime factorization of 1401

1401 = 3 x 467

Step 2: Find the prime factorization of 1405

1405 = 5 x 281

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 1401 and 1405 is 1