Greatest Common Factor of 1016 and 1021

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, 1021 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1016 and 1021 is 1.

GCF(1016,1021) = 1

GCF of 1016 and 1021

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

GCF of:
and

Greatest Common Factor of 1016 and 1021

GCF of 1016 and 1021 is 1

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 1021


1021 1021
1

Prime factors of 1021 are 1021. Prime factorization of 1021 in exponential form is:

1021 = 10211

∴ So by taking common prime factors GCF of 1016 and 1021 is 1

Greatest Common Factor of 1016 and 1021 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 1021

List of positive integer factors of 1021 that divides 1021 without a remainder.

1,1021

Greatest Common Factor

We found the factors and prime factorization of 1016 and 1021. The biggest common factor number is the GCF number.
So the greatest common factor 1016 and 1021 is 1.

Also check out the Least Common Multiple of 1016 and 1021

Properties of GCF 1016 and 1021

(i) The GCF of 1016 and 1021 is associative

GCF of 1016 and 1021 = GCF of 1021 and 1016

Related Greatest Common Factor of 1016

Related Greatest Common Factor of 1021

Frequently Asked Questions on GCF of 1016 and 1021

1. What is the GCF of 1016 and 1021?

Answer: GCF of 1016 and 1021 is 1.

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 1021?

Answer: Factors of 1021 are 1, 1021. There are 2 integers that are factors of 1021. The greatest factor of 1021 is 1021.

4. How to Find the GCF of 1016 and 1021?

Answer:

Greatest Common Factor of 1016 and 1021 = 1

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

Step 2: Find the prime factorization of 1021

1021 = 1021

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1016 and 1021 is 1