Greatest Common Factor of 13400 and 13407

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 13400, 13407 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13400 and 13407 is 1.

GCF(13400,13407) = 1

GCF of 13400 and 13407

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

GCF of:
and

Greatest Common Factor of 13400 and 13407

GCF of 13400 and 13407 is 1

Prime Factorization of 13400


2 13400
2 6700
2 3350
5 1675
5 335
67 67
1

Prime factors of 13400 are 2,5,67. Prime factorization of 13400 in exponential form is:

13400 = 23×52×671

Prime Factorization of 13407


3 13407
41 4469
109 109
1

Prime factors of 13407 are 3,41,109. Prime factorization of 13407 in exponential form is:

13407 = 31×411×1091

∴ So by taking common prime factors GCF of 13400 and 13407 is 1

Greatest Common Factor of 13400 and 13407 by matching factors method

Factors of 13400

List of positive integer factors of 13400 that divides 13400 without a remainder.

1,2,4,5,8,10,20,25,40,50,67,100,134,200,268,335,536,670,1340,1675,2680,3350,6700,13400

Factors of 13407

List of positive integer factors of 13407 that divides 13407 without a remainder.

1,3,41,109,123,327,4469,13407

Greatest Common Factor

We found the factors and prime factorization of 13400 and 13407. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13407 is 1.

Also check out the Least Common Multiple of 13400 and 13407

Properties of GCF 13400 and 13407

(i) The GCF of 13400 and 13407 is associative

GCF of 13400 and 13407 = GCF of 13407 and 13400

Related Greatest Common Factor of 13400

Related Greatest Common Factor of 13407

Frequently Asked Questions on GCF of 13400 and 13407

1. What is the GCF of 13400 and 13407?

Answer: GCF of 13400 and 13407 is 1.

2. What are the Factors of 13400?

Answer: Factors of 13400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700, 13400. There are 24 integers that are factors of 13400. The greatest factor of 13400 is 13400.

3. What are the Factors of 13407?

Answer: Factors of 13407 are 1, 3, 41, 109, 123, 327, 4469, 13407. There are 8 integers that are factors of 13407. The greatest factor of 13407 is 13407.

4. How to Find the GCF of 13400 and 13407?

Answer:

Greatest Common Factor of 13400 and 13407 = 1

Step 1: Find the prime factorization of 13400

13400 = 2 x 2 x 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 13407

13407 = 3 x 41 x 109

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 13400 and 13407 is 1