Greatest Common Factor of 13460 and 13467

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 13460, 13467 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13460 and 13467 is 1.

GCF(13460,13467) = 1

GCF of 13460 and 13467

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

GCF of:
and

Greatest Common Factor of 13460 and 13467

GCF of 13460 and 13467 is 1

Prime Factorization of 13460


2 13460
2 6730
5 3365
673 673
1

Prime factors of 13460 are 2,5,673. Prime factorization of 13460 in exponential form is:

13460 = 22×51×6731

Prime Factorization of 13467


3 13467
67 4489
67 67
1

Prime factors of 13467 are 3,67. Prime factorization of 13467 in exponential form is:

13467 = 31×672

∴ So by taking common prime factors GCF of 13460 and 13467 is 1

Greatest Common Factor of 13460 and 13467 by matching factors method

Factors of 13460

List of positive integer factors of 13460 that divides 13460 without a remainder.

1,2,4,5,10,20,673,1346,2692,3365,6730,13460

Factors of 13467

List of positive integer factors of 13467 that divides 13467 without a remainder.

1,3,67,201,4489,13467

Greatest Common Factor

We found the factors and prime factorization of 13460 and 13467. The biggest common factor number is the GCF number.
So the greatest common factor 13460 and 13467 is 1.

Also check out the Least Common Multiple of 13460 and 13467

Properties of GCF 13460 and 13467

(i) The GCF of 13460 and 13467 is associative

GCF of 13460 and 13467 = GCF of 13467 and 13460

Related Greatest Common Factor of 13460

Related Greatest Common Factor of 13467

Frequently Asked Questions on GCF of 13460 and 13467

1. What is the GCF of 13460 and 13467?

Answer: GCF of 13460 and 13467 is 1.

2. What are the Factors of 13460?

Answer: Factors of 13460 are 1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460. There are 12 integers that are factors of 13460. The greatest factor of 13460 is 13460.

3. What are the Factors of 13467?

Answer: Factors of 13467 are 1, 3, 67, 201, 4489, 13467. There are 6 integers that are factors of 13467. The greatest factor of 13467 is 13467.

4. How to Find the GCF of 13460 and 13467?

Answer:

Greatest Common Factor of 13460 and 13467 = 1

Step 1: Find the prime factorization of 13460

13460 = 2 x 2 x 5 x 673

Step 2: Find the prime factorization of 13467

13467 = 3 x 67 x 67

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 13460 and 13467 is 1