Greatest Common Factor of 20407 and 20413

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 20407, 20413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20407 and 20413 is 1.

GCF(20407,20413) = 1

GCF of 20407 and 20413

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

GCF of:
and

Greatest Common Factor of 20407 and 20413

GCF of 20407 and 20413 is 1

Prime Factorization of 20407


20407 20407
1

Prime factors of 20407 are 20407. Prime factorization of 20407 in exponential form is:

20407 = 204071

Prime Factorization of 20413


137 20413
149 149
1

Prime factors of 20413 are 137.Prime factorization of 20413 in exponential form is:

20413 = 1371×1491

∴ So by taking common prime factors GCF of 20407 and 20413 is 1

Greatest Common Factor of 20407 and 20413 by matching factors method

Factors of 20407

List of positive integer factors of 20407 that divides 20407 without a remainder.

1,20407

Factors of 20413

List of positive integer factors of 20413 that divides 20413 without a remainder.

1,137,149,20413

Greatest Common Factor

We found the factors and prime factorization of 20407 and 20413. The biggest common factor number is the GCF number.
So the greatest common factor 20407 and 20413 is 1.

Also check out the Least Common Multiple of 20407 and 20413

Properties of GCF 20407 and 20413

(i) The GCF of 20407 and 20413 is associative

GCF of 20407 and 20413 = GCF of 20413 and 20407

Related Greatest Common Factor of 20407

Related Greatest Common Factor of 20413

Frequently Asked Questions on GCF of 20407 and 20413

1. What is the GCF of 20407 and 20413?

Answer: GCF of 20407 and 20413 is 1.

2. What are the Factors of 20407?

Answer: Factors of 20407 are 1, 20407. There are 2 integers that are factors of 20407. The greatest factor of 20407 is 20407.

3. What are the Factors of 20413?

Answer: Factors of 20413 are 1, 137, 149, 20413. There are 4 integers that are factors of 20413. The greatest factor of 20413 is 20413.

4. How to Find the GCF of 20407 and 20413?

Answer:

Greatest Common Factor of 20407 and 20413 = 1

Step 1: Find the prime factorization of 20407

20407 = 20407

Step 2: Find the prime factorization of 20413

20413 = 137 x 149

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 20407 and 20413 is 1