Greatest Common Factor of 7016 and 7024

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 7016, 7024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7016 and 7024 is 8.

GCF(7016,7024) = 8

GCF of 7016 and 7024

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

GCF of:
and

Greatest Common Factor of 7016 and 7024

GCF of 7016 and 7024 is 8

Prime Factorization of 7016


2 7016
2 3508
2 1754
877 877
1

Prime factors of 7016 are 2,877. Prime factorization of 7016 in exponential form is:

7016 = 23×8771

Prime Factorization of 7024


2 7024
2 3512
2 1756
2 878
439 439
1

Prime factors of 7024 are 2,439. Prime factorization of 7024 in exponential form is:

7024 = 24×4391

∴ So by taking common prime factors GCF of 7016 and 7024 is 8

Greatest Common Factor of 7016 and 7024 by matching factors method

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1,2,4,8,877,1754,3508,7016

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1,2,4,8,16,439,878,1756,3512,7024

Greatest Common Factor

We found the factors and prime factorization of 7016 and 7024. The biggest common factor number is the GCF number.
So the greatest common factor 7016 and 7024 is 8.

Also check out the Least Common Multiple of 7016 and 7024

Properties of GCF 7016 and 7024

(i) The GCF of 7016 and 7024 is associative

GCF of 7016 and 7024 = GCF of 7024 and 7016

Related Greatest Common Factor of 7016

Related Greatest Common Factor of 7024

Frequently Asked Questions on GCF of 7016 and 7024

1. What is the GCF of 7016 and 7024?

Answer: GCF of 7016 and 7024 is 8.

2. What are the Factors of 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

3. What are the Factors of 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

4. How to Find the GCF of 7016 and 7024?

Answer:

Greatest Common Factor of 7016 and 7024 = 8

Step 1: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

Step 2: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

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 7016 and 7024 is 8