Greatest Common Factor of 13427 and 13435

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 13427, 13435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13427 and 13435 is 1.

GCF(13427,13435) = 1

GCF of 13427 and 13435

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

GCF of:
and

Greatest Common Factor of 13427 and 13435

GCF of 13427 and 13435 is 1

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

Prime Factorization of 13435


5 13435
2687 2687
1

Prime factors of 13435 are 5,2687. Prime factorization of 13435 in exponential form is:

13435 = 51×26871

∴ So by taking common prime factors GCF of 13427 and 13435 is 1

Greatest Common Factor of 13427 and 13435 by matching factors method

Factors of 13427

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

1,29,463,13427

Factors of 13435

List of positive integer factors of 13435 that divides 13435 without a remainder.

1,5,2687,13435

Greatest Common Factor

We found the factors and prime factorization of 13427 and 13435. The biggest common factor number is the GCF number.
So the greatest common factor 13427 and 13435 is 1.

Also check out the Least Common Multiple of 13427 and 13435

Properties of GCF 13427 and 13435

(i) The GCF of 13427 and 13435 is associative

GCF of 13427 and 13435 = GCF of 13435 and 13427

Related Greatest Common Factor of 13427

Related Greatest Common Factor of 13435

Frequently Asked Questions on GCF of 13427 and 13435

1. What is the GCF of 13427 and 13435?

Answer: GCF of 13427 and 13435 is 1.

2. 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.

3. What are the Factors of 13435?

Answer: Factors of 13435 are 1, 5, 2687, 13435. There are 4 integers that are factors of 13435. The greatest factor of 13435 is 13435.

4. How to Find the GCF of 13427 and 13435?

Answer:

Greatest Common Factor of 13427 and 13435 = 1

Step 1: Find the prime factorization of 13427

13427 = 29 x 463

Step 2: Find the prime factorization of 13435

13435 = 5 x 2687

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 13427 and 13435 is 1