Greatest Common Factor of 512 and 520

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 512, 520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 512 and 520 is 8.

GCF(512,520) = 8

GCF of 512 and 520

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

GCF of:
and

Greatest Common Factor of 512 and 520

GCF of 512 and 520 is 8

Prime Factorization of 512


2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 512 are 2. Prime factorization of 512 in exponential form is:

512 = 29

Prime Factorization of 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2.Prime factorization of 520 in exponential form is:

520 = 23×51×131

∴ So by taking common prime factors GCF of 512 and 520 is 8

Greatest Common Factor of 512 and 520 by matching factors method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors and prime factorization of 512 and 520. The biggest common factor number is the GCF number.
So the greatest common factor 512 and 520 is 8.

Also check out the Least Common Multiple of 512 and 520

Properties of GCF 512 and 520

(i) The GCF of 512 and 520 is associative

GCF of 512 and 520 = GCF of 520 and 512

Related Greatest Common Factor of 512

Related Greatest Common Factor of 520

Frequently Asked Questions on GCF of 512 and 520

1. What is the GCF of 512 and 520?

Answer: GCF of 512 and 520 is 8.

2. What are the Factors of 512?

Answer: Factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. There are 10 integers that are factors of 512. The greatest factor of 512 is 512.

3. What are the Factors of 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

4. How to Find the GCF of 512 and 520?

Answer:

Greatest Common Factor of 512 and 520 = 8

Step 1: Find the prime factorization of 512

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 512 and 520 is 8