Greatest Common Factor of 20464 and 20470

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

Greatest common factor (GCF) of 20464 and 20470 is 2.

GCF(20464,20470) = 2

GCF of 20464 and 20470

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

GCF of:
and

Greatest Common Factor of 20464 and 20470

GCF of 20464 and 20470 is 2

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 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

∴ So by taking common prime factors GCF of 20464 and 20470 is 2

Greatest Common Factor of 20464 and 20470 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 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

Greatest Common Factor

We found the factors and prime factorization of 20464 and 20470. The biggest common factor number is the GCF number.
So the greatest common factor 20464 and 20470 is 2.

Also check out the Least Common Multiple of 20464 and 20470

Properties of GCF 20464 and 20470

(i) The GCF of 20464 and 20470 is associative

GCF of 20464 and 20470 = GCF of 20470 and 20464

Frequently Asked Questions on GCF of 20464 and 20470

1. What is the GCF of 20464 and 20470?

Answer: GCF of 20464 and 20470 is 2.

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 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.

4. How to Find the GCF of 20464 and 20470?

Answer:

Greatest Common Factor of 20464 and 20470 = 2

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 20470

20470 = 2 x 5 x 23 x 89

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 20464 and 20470 is 2