Greatest Common Factor of 10016 and 10022

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 10016, 10022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10016 and 10022 is 2.

GCF(10016,10022) = 2

GCF of 10016 and 10022

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

GCF of:
and

Greatest Common Factor of 10016 and 10022

GCF of 10016 and 10022 is 2

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

Prime Factorization of 10022


2 10022
5011 5011
1

Prime factors of 10022 are 2,5011. Prime factorization of 10022 in exponential form is:

10022 = 21×50111

∴ So by taking common prime factors GCF of 10016 and 10022 is 2

Greatest Common Factor of 10016 and 10022 by matching factors method

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1,2,4,8,16,32,313,626,1252,2504,5008,10016

Factors of 10022

List of positive integer factors of 10022 that divides 10022 without a remainder.

1,2,5011,10022

Greatest Common Factor

We found the factors and prime factorization of 10016 and 10022. The biggest common factor number is the GCF number.
So the greatest common factor 10016 and 10022 is 2.

Also check out the Least Common Multiple of 10016 and 10022

Properties of GCF 10016 and 10022

(i) The GCF of 10016 and 10022 is associative

GCF of 10016 and 10022 = GCF of 10022 and 10016

Related Greatest Common Factor of 10016

Related Greatest Common Factor of 10022

Frequently Asked Questions on GCF of 10016 and 10022

1. What is the GCF of 10016 and 10022?

Answer: GCF of 10016 and 10022 is 2.

2. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

3. What are the Factors of 10022?

Answer: Factors of 10022 are 1, 2, 5011, 10022. There are 4 integers that are factors of 10022. The greatest factor of 10022 is 10022.

4. How to Find the GCF of 10016 and 10022?

Answer:

Greatest Common Factor of 10016 and 10022 = 2

Step 1: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 10022

10022 = 2 x 5011

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 10016 and 10022 is 2