Greatest Common Factor of 10408 and 10413

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 10408, 10413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10408 and 10413 is 1.

GCF(10408,10413) = 1

GCF of 10408 and 10413

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

GCF of:
and

Greatest Common Factor of 10408 and 10413

GCF of 10408 and 10413 is 1

Prime Factorization of 10408


2 10408
2 5204
2 2602
1301 1301
1

Prime factors of 10408 are 2,1301. Prime factorization of 10408 in exponential form is:

10408 = 23×13011

Prime Factorization of 10413


3 10413
3 3471
13 1157
89 89
1

Prime factors of 10413 are 3,13,89. Prime factorization of 10413 in exponential form is:

10413 = 32×131×891

∴ So by taking common prime factors GCF of 10408 and 10413 is 1

Greatest Common Factor of 10408 and 10413 by matching factors method

Factors of 10408

List of positive integer factors of 10408 that divides 10408 without a remainder.

1,2,4,8,1301,2602,5204,10408

Factors of 10413

List of positive integer factors of 10413 that divides 10413 without a remainder.

1,3,9,13,39,89,117,267,801,1157,3471,10413

Greatest Common Factor

We found the factors and prime factorization of 10408 and 10413. The biggest common factor number is the GCF number.
So the greatest common factor 10408 and 10413 is 1.

Also check out the Least Common Multiple of 10408 and 10413

Properties of GCF 10408 and 10413

(i) The GCF of 10408 and 10413 is associative

GCF of 10408 and 10413 = GCF of 10413 and 10408

Related Greatest Common Factor of 10408

Related Greatest Common Factor of 10413

Frequently Asked Questions on GCF of 10408 and 10413

1. What is the GCF of 10408 and 10413?

Answer: GCF of 10408 and 10413 is 1.

2. What are the Factors of 10408?

Answer: Factors of 10408 are 1, 2, 4, 8, 1301, 2602, 5204, 10408. There are 8 integers that are factors of 10408. The greatest factor of 10408 is 10408.

3. What are the Factors of 10413?

Answer: Factors of 10413 are 1, 3, 9, 13, 39, 89, 117, 267, 801, 1157, 3471, 10413. There are 12 integers that are factors of 10413. The greatest factor of 10413 is 10413.

4. How to Find the GCF of 10408 and 10413?

Answer:

Greatest Common Factor of 10408 and 10413 = 1

Step 1: Find the prime factorization of 10408

10408 = 2 x 2 x 2 x 1301

Step 2: Find the prime factorization of 10413

10413 = 3 x 3 x 13 x 89

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 10408 and 10413 is 1