Greatest Common Factor of 1016 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 1016, 1024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1016 and 1024 is 8.

GCF(1016,1024) = 8

GCF of 1016 and 1024

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

GCF of:
and

Greatest Common Factor of 1016 and 1024

GCF of 1016 and 1024 is 8

Prime Factorization of 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

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 1016 and 1024 is 8

Greatest Common Factor of 1016 and 1024 by matching factors method

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

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 1016 and 1024. The biggest common factor number is the GCF number.
So the greatest common factor 1016 and 1024 is 8.

Also check out the Least Common Multiple of 1016 and 1024

Properties of GCF 1016 and 1024

(i) The GCF of 1016 and 1024 is associative

GCF of 1016 and 1024 = GCF of 1024 and 1016

Related Greatest Common Factor of 1016

Related Greatest Common Factor of 1024

Frequently Asked Questions on GCF of 1016 and 1024

1. What is the GCF of 1016 and 1024?

Answer: GCF of 1016 and 1024 is 8.

2. What are the Factors of 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

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 1016 and 1024?

Answer:

Greatest Common Factor of 1016 and 1024 = 8

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 1016 and 1024 is 8