Greatest Common Factor of 1020 and 1024

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 1020, 1024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1020 and 1024 is 4.

GCF(1020,1024) = 4

GCF of 1020 and 1024

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

GCF of:
and

Greatest Common Factor of 1020 and 1024

GCF of 1020 and 1024 is 4

Prime Factorization of 1020


2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 1020 are 2,3,5,17. Prime factorization of 1020 in exponential form is:

1020 = 22×31×51×171

Prime Factorization of 1024


2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 1024 are 2. Prime factorization of 1024 in exponential form is:

1024 = 210

∴ So by taking common prime factors GCF of 1020 and 1024 is 4

Greatest Common Factor of 1020 and 1024 by matching factors method

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors and prime factorization of 1020 and 1024. The biggest common factor number is the GCF number.
So the greatest common factor 1020 and 1024 is 4.

Also check out the Least Common Multiple of 1020 and 1024

Properties of GCF 1020 and 1024

(i) The GCF of 1020 and 1024 is associative

GCF of 1020 and 1024 = GCF of 1024 and 1020

Related Greatest Common Factor of 1020

Related Greatest Common Factor of 1024

Frequently Asked Questions on GCF of 1020 and 1024

1. What is the GCF of 1020 and 1024?

Answer: GCF of 1020 and 1024 is 4.

2. What are the Factors of 1020?

Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.

3. What are the Factors of 1024?

Answer: Factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. There are 11 integers that are factors of 1024. The greatest factor of 1024 is 1024.

4. How to Find the GCF of 1020 and 1024?

Answer:

Greatest Common Factor of 1020 and 1024 = 4

Step 1: Find the prime factorization of 1020

1020 = 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 1024

1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1020 and 1024 is 4