Greatest Common Factor of 13354 and 13355

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 13354, 13355 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13354 and 13355 is 1.

GCF(13354,13355) = 1

GCF of 13354 and 13355

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

GCF of:
and

Greatest Common Factor of 13354 and 13355

GCF of 13354 and 13355 is 1

Prime Factorization of 13354


2 13354
11 6677
607 607
1

Prime factors of 13354 are 2,11,607. Prime factorization of 13354 in exponential form is:

13354 = 21×111×6071

Prime Factorization of 13355


5 13355
2671 2671
1

Prime factors of 13355 are 5,2671. Prime factorization of 13355 in exponential form is:

13355 = 51×26711

∴ So by taking common prime factors GCF of 13354 and 13355 is 1

Greatest Common Factor of 13354 and 13355 by matching factors method

Factors of 13354

List of positive integer factors of 13354 that divides 13354 without a remainder.

1,2,11,22,607,1214,6677,13354

Factors of 13355

List of positive integer factors of 13355 that divides 13355 without a remainder.

1,5,2671,13355

Greatest Common Factor

We found the factors and prime factorization of 13354 and 13355. The biggest common factor number is the GCF number.
So the greatest common factor 13354 and 13355 is 1.

Also check out the Least Common Multiple of 13354 and 13355

Properties of GCF 13354 and 13355

(i) The GCF of 13354 and 13355 is associative

GCF of 13354 and 13355 = GCF of 13355 and 13354

Related Greatest Common Factor of 13354

Related Greatest Common Factor of 13355

Frequently Asked Questions on GCF of 13354 and 13355

1. What is the GCF of 13354 and 13355?

Answer: GCF of 13354 and 13355 is 1.

2. What are the Factors of 13354?

Answer: Factors of 13354 are 1, 2, 11, 22, 607, 1214, 6677, 13354. There are 8 integers that are factors of 13354. The greatest factor of 13354 is 13354.

3. What are the Factors of 13355?

Answer: Factors of 13355 are 1, 5, 2671, 13355. There are 4 integers that are factors of 13355. The greatest factor of 13355 is 13355.

4. How to Find the GCF of 13354 and 13355?

Answer:

Greatest Common Factor of 13354 and 13355 = 1

Step 1: Find the prime factorization of 13354

13354 = 2 x 11 x 607

Step 2: Find the prime factorization of 13355

13355 = 5 x 2671

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 13354 and 13355 is 1