Greatest Common Factor of 20470 and 20478

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 20470, 20478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20470 and 20478 is 2.

GCF(20470,20478) = 2

GCF of 20470 and 20478

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

GCF of:
and

Greatest Common Factor of 20470 and 20478

GCF of 20470 and 20478 is 2

Prime Factorization of 20470


2 20470
5 10235
23 2047
89 89
1

Prime factors of 20470 are 2,5,23,89. Prime factorization of 20470 in exponential form is:

20470 = 21×51×231×891

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

∴ So by taking common prime factors GCF of 20470 and 20478 is 2

Greatest Common Factor of 20470 and 20478 by matching factors method

Factors of 20470

List of positive integer factors of 20470 that divides 20470 without a remainder.

1,2,5,10,23,46,89,115,178,230,445,890,2047,4094,10235,20470

Factors of 20478

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

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

Greatest Common Factor

We found the factors and prime factorization of 20470 and 20478. The biggest common factor number is the GCF number.
So the greatest common factor 20470 and 20478 is 2.

Also check out the Least Common Multiple of 20470 and 20478

Properties of GCF 20470 and 20478

(i) The GCF of 20470 and 20478 is associative

GCF of 20470 and 20478 = GCF of 20478 and 20470

Related Greatest Common Factor of 20470

Related Greatest Common Factor of 20478

Frequently Asked Questions on GCF of 20470 and 20478

1. What is the GCF of 20470 and 20478?

Answer: GCF of 20470 and 20478 is 2.

2. What are the Factors of 20470?

Answer: Factors of 20470 are 1, 2, 5, 10, 23, 46, 89, 115, 178, 230, 445, 890, 2047, 4094, 10235, 20470. There are 16 integers that are factors of 20470. The greatest factor of 20470 is 20470.

3. 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.

4. How to Find the GCF of 20470 and 20478?

Answer:

Greatest Common Factor of 20470 and 20478 = 2

Step 1: Find the prime factorization of 20470

20470 = 2 x 5 x 23 x 89

Step 2: Find the prime factorization of 20478

20478 = 2 x 3 x 3413

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

GCF = 2

Step 4: Therefore, the greatest common factor of 20470 and 20478 is 2