Greatest Common Factor of 4016 and 4024

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 4016, 4024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4016 and 4024 is 8.

GCF(4016,4024) = 8

GCF of 4016 and 4024

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

GCF of:
and

Greatest Common Factor of 4016 and 4024

GCF of 4016 and 4024 is 8

Prime Factorization of 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

Prime Factorization of 4024


2 4024
2 2012
2 1006
503 503
1

Prime factors of 4024 are 2,503. Prime factorization of 4024 in exponential form is:

4024 = 23×5031

∴ So by taking common prime factors GCF of 4016 and 4024 is 8

Greatest Common Factor of 4016 and 4024 by matching factors method

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1,2,4,8,16,251,502,1004,2008,4016

Factors of 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1,2,4,8,503,1006,2012,4024

Greatest Common Factor

We found the factors and prime factorization of 4016 and 4024. The biggest common factor number is the GCF number.
So the greatest common factor 4016 and 4024 is 8.

Also check out the Least Common Multiple of 4016 and 4024

Properties of GCF 4016 and 4024

(i) The GCF of 4016 and 4024 is associative

GCF of 4016 and 4024 = GCF of 4024 and 4016

Related Greatest Common Factor of 4016

Related Greatest Common Factor of 4024

Frequently Asked Questions on GCF of 4016 and 4024

1. What is the GCF of 4016 and 4024?

Answer: GCF of 4016 and 4024 is 8.

2. What are the Factors of 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

3. What are the Factors of 4024?

Answer: Factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024. There are 8 integers that are factors of 4024. The greatest factor of 4024 is 4024.

4. How to Find the GCF of 4016 and 4024?

Answer:

Greatest Common Factor of 4016 and 4024 = 8

Step 1: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

Step 2: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

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 4016 and 4024 is 8