Greatest Common Factor of 20478 and 20484

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 20478, 20484 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20478 and 20484 is 6.

GCF(20478,20484) = 6

GCF of 20478 and 20484

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

GCF of:
and

Greatest Common Factor of 20478 and 20484

GCF of 20478 and 20484 is 6

Prime Factorization of 20478


2 20478
3 10239
3413 3413
1

Prime factors of 20478 are 2,3,3413. Prime factorization of 20478 in exponential form is:

20478 = 21×31×34131

Prime Factorization of 20484


2 20484
2 10242
3 5121
3 1707
569 569
1

Prime factors of 20484 are 2,3,569. Prime factorization of 20484 in exponential form is:

20484 = 22×32×5691

∴ So by taking common prime factors GCF of 20478 and 20484 is 6

Greatest Common Factor of 20478 and 20484 by matching factors method

Factors of 20478

List of positive integer factors of 20478 that divides 20478 without a remainder.

1,2,3,6,3413,6826,10239,20478

Factors of 20484

List of positive integer factors of 20484 that divides 20484 without a remainder.

1,2,3,4,6,9,12,18,36,569,1138,1707,2276,3414,5121,6828,10242,20484

Greatest Common Factor

We found the factors and prime factorization of 20478 and 20484. The biggest common factor number is the GCF number.
So the greatest common factor 20478 and 20484 is 6.

Also check out the Least Common Multiple of 20478 and 20484

Properties of GCF 20478 and 20484

(i) The GCF of 20478 and 20484 is associative

GCF of 20478 and 20484 = GCF of 20484 and 20478

Related Greatest Common Factor of 20478

Related Greatest Common Factor of 20484

Frequently Asked Questions on GCF of 20478 and 20484

1. What is the GCF of 20478 and 20484?

Answer: GCF of 20478 and 20484 is 6.

2. What are the Factors of 20478?

Answer: Factors of 20478 are 1, 2, 3, 6, 3413, 6826, 10239, 20478. There are 8 integers that are factors of 20478. The greatest factor of 20478 is 20478.

3. What are the Factors of 20484?

Answer: Factors of 20484 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242, 20484. There are 18 integers that are factors of 20484. The greatest factor of 20484 is 20484.

4. How to Find the GCF of 20478 and 20484?

Answer:

Greatest Common Factor of 20478 and 20484 = 6

Step 1: Find the prime factorization of 20478

20478 = 2 x 3 x 3413

Step 2: Find the prime factorization of 20484

20484 = 2 x 2 x 3 x 3 x 569

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 20478 and 20484 is 6