Greatest Common Factor of 13438 and 13445

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 13438, 13445 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13438 and 13445 is 1.

GCF(13438,13445) = 1

GCF of 13438 and 13445

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

GCF of:
and

Greatest Common Factor of 13438 and 13445

GCF of 13438 and 13445 is 1

Prime Factorization of 13438


2 13438
6719 6719
1

Prime factors of 13438 are 2,6719. Prime factorization of 13438 in exponential form is:

13438 = 21×67191

Prime Factorization of 13445


5 13445
2689 2689
1

Prime factors of 13445 are 5,2689. Prime factorization of 13445 in exponential form is:

13445 = 51×26891

∴ So by taking common prime factors GCF of 13438 and 13445 is 1

Greatest Common Factor of 13438 and 13445 by matching factors method

Factors of 13438

List of positive integer factors of 13438 that divides 13438 without a remainder.

1,2,6719,13438

Factors of 13445

List of positive integer factors of 13445 that divides 13445 without a remainder.

1,5,2689,13445

Greatest Common Factor

We found the factors and prime factorization of 13438 and 13445. The biggest common factor number is the GCF number.
So the greatest common factor 13438 and 13445 is 1.

Also check out the Least Common Multiple of 13438 and 13445

Properties of GCF 13438 and 13445

(i) The GCF of 13438 and 13445 is associative

GCF of 13438 and 13445 = GCF of 13445 and 13438

Related Greatest Common Factor of 13438

Related Greatest Common Factor of 13445

Frequently Asked Questions on GCF of 13438 and 13445

1. What is the GCF of 13438 and 13445?

Answer: GCF of 13438 and 13445 is 1.

2. What are the Factors of 13438?

Answer: Factors of 13438 are 1, 2, 6719, 13438. There are 4 integers that are factors of 13438. The greatest factor of 13438 is 13438.

3. What are the Factors of 13445?

Answer: Factors of 13445 are 1, 5, 2689, 13445. There are 4 integers that are factors of 13445. The greatest factor of 13445 is 13445.

4. How to Find the GCF of 13438 and 13445?

Answer:

Greatest Common Factor of 13438 and 13445 = 1

Step 1: Find the prime factorization of 13438

13438 = 2 x 6719

Step 2: Find the prime factorization of 13445

13445 = 5 x 2689

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 13438 and 13445 is 1