Greatest Common Factor of 10413 and 10421

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 10413, 10421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10413 and 10421 is 1.

GCF(10413,10421) = 1

GCF of 10413 and 10421

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

GCF of:
and

Greatest Common Factor of 10413 and 10421

GCF of 10413 and 10421 is 1

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

Prime Factorization of 10421


17 10421
613 613
1

Prime factors of 10421 are 17,613. Prime factorization of 10421 in exponential form is:

10421 = 171×6131

∴ So by taking common prime factors GCF of 10413 and 10421 is 1

Greatest Common Factor of 10413 and 10421 by matching factors method

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

Factors of 10421

List of positive integer factors of 10421 that divides 10421 without a remainder.

1,17,613,10421

Greatest Common Factor

We found the factors and prime factorization of 10413 and 10421. The biggest common factor number is the GCF number.
So the greatest common factor 10413 and 10421 is 1.

Also check out the Least Common Multiple of 10413 and 10421

Properties of GCF 10413 and 10421

(i) The GCF of 10413 and 10421 is associative

GCF of 10413 and 10421 = GCF of 10421 and 10413

Related Greatest Common Factor of 10413

Related Greatest Common Factor of 10421

Frequently Asked Questions on GCF of 10413 and 10421

1. What is the GCF of 10413 and 10421?

Answer: GCF of 10413 and 10421 is 1.

2. 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.

3. What are the Factors of 10421?

Answer: Factors of 10421 are 1, 17, 613, 10421. There are 4 integers that are factors of 10421. The greatest factor of 10421 is 10421.

4. How to Find the GCF of 10413 and 10421?

Answer:

Greatest Common Factor of 10413 and 10421 = 1

Step 1: Find the prime factorization of 10413

10413 = 3 x 3 x 13 x 89

Step 2: Find the prime factorization of 10421

10421 = 17 x 613

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 10413 and 10421 is 1