Greatest Common Factor of 20464 and 20471

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 20464, 20471 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20464 and 20471 is 1.

GCF(20464,20471) = 1

GCF of 20464 and 20471

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

GCF of:
and

Greatest Common Factor of 20464 and 20471

GCF of 20464 and 20471 is 1

Prime Factorization of 20464


2 20464
2 10232
2 5116
2 2558
1279 1279
1

Prime factors of 20464 are 2,1279. Prime factorization of 20464 in exponential form is:

20464 = 24×12791

Prime Factorization of 20471


11 20471
1861 1861
1

Prime factors of 20471 are 11,1861. Prime factorization of 20471 in exponential form is:

20471 = 111×18611

∴ So by taking common prime factors GCF of 20464 and 20471 is 1

Greatest Common Factor of 20464 and 20471 by matching factors method

Factors of 20464

List of positive integer factors of 20464 that divides 20464 without a remainder.

1,2,4,8,16,1279,2558,5116,10232,20464

Factors of 20471

List of positive integer factors of 20471 that divides 20471 without a remainder.

1,11,1861,20471

Greatest Common Factor

We found the factors and prime factorization of 20464 and 20471. The biggest common factor number is the GCF number.
So the greatest common factor 20464 and 20471 is 1.

Also check out the Least Common Multiple of 20464 and 20471

Properties of GCF 20464 and 20471

(i) The GCF of 20464 and 20471 is associative

GCF of 20464 and 20471 = GCF of 20471 and 20464

Related Greatest Common Factor of 20464

Related Greatest Common Factor of 20471

Frequently Asked Questions on GCF of 20464 and 20471

1. What is the GCF of 20464 and 20471?

Answer: GCF of 20464 and 20471 is 1.

2. What are the Factors of 20464?

Answer: Factors of 20464 are 1, 2, 4, 8, 16, 1279, 2558, 5116, 10232, 20464. There are 10 integers that are factors of 20464. The greatest factor of 20464 is 20464.

3. What are the Factors of 20471?

Answer: Factors of 20471 are 1, 11, 1861, 20471. There are 4 integers that are factors of 20471. The greatest factor of 20471 is 20471.

4. How to Find the GCF of 20464 and 20471?

Answer:

Greatest Common Factor of 20464 and 20471 = 1

Step 1: Find the prime factorization of 20464

20464 = 2 x 2 x 2 x 2 x 1279

Step 2: Find the prime factorization of 20471

20471 = 11 x 1861

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 20464 and 20471 is 1