Greatest Common Factor of 13419 and 13427

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 13419, 13427 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13419 and 13427 is 1.

GCF(13419,13427) = 1

GCF of 13419 and 13427

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

GCF of:
and

Greatest Common Factor of 13419 and 13427

GCF of 13419 and 13427 is 1

Prime Factorization of 13419


3 13419
3 4473
3 1491
7 497
71 71
1

Prime factors of 13419 are 3,7,71. Prime factorization of 13419 in exponential form is:

13419 = 33×71×711

Prime Factorization of 13427


29 13427
463 463
1

Prime factors of 13427 are 29,463. Prime factorization of 13427 in exponential form is:

13427 = 291×4631

∴ So by taking common prime factors GCF of 13419 and 13427 is 1

Greatest Common Factor of 13419 and 13427 by matching factors method

Factors of 13419

List of positive integer factors of 13419 that divides 13419 without a remainder.

1,3,7,9,21,27,63,71,189,213,497,639,1491,1917,4473,13419

Factors of 13427

List of positive integer factors of 13427 that divides 13427 without a remainder.

1,29,463,13427

Greatest Common Factor

We found the factors and prime factorization of 13419 and 13427. The biggest common factor number is the GCF number.
So the greatest common factor 13419 and 13427 is 1.

Also check out the Least Common Multiple of 13419 and 13427

Properties of GCF 13419 and 13427

(i) The GCF of 13419 and 13427 is associative

GCF of 13419 and 13427 = GCF of 13427 and 13419

Related Greatest Common Factor of 13419

Related Greatest Common Factor of 13427

Frequently Asked Questions on GCF of 13419 and 13427

1. What is the GCF of 13419 and 13427?

Answer: GCF of 13419 and 13427 is 1.

2. What are the Factors of 13419?

Answer: Factors of 13419 are 1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473, 13419. There are 16 integers that are factors of 13419. The greatest factor of 13419 is 13419.

3. What are the Factors of 13427?

Answer: Factors of 13427 are 1, 29, 463, 13427. There are 4 integers that are factors of 13427. The greatest factor of 13427 is 13427.

4. How to Find the GCF of 13419 and 13427?

Answer:

Greatest Common Factor of 13419 and 13427 = 1

Step 1: Find the prime factorization of 13419

13419 = 3 x 3 x 3 x 7 x 71

Step 2: Find the prime factorization of 13427

13427 = 29 x 463

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 13419 and 13427 is 1