Greatest Common Factor of 7008 and 7016

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 7008, 7016 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7008 and 7016 is 8.

GCF(7008,7016) = 8

GCF of 7008 and 7016

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

GCF of:
and

Greatest Common Factor of 7008 and 7016

GCF of 7008 and 7016 is 8

Prime Factorization of 7008


2 7008
2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 7008 are 2,3,73. Prime factorization of 7008 in exponential form is:

7008 = 25×31×731

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

∴ So by taking common prime factors GCF of 7008 and 7016 is 8

Greatest Common Factor of 7008 and 7016 by matching factors method

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008

Factors of 7016

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

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

Greatest Common Factor

We found the factors and prime factorization of 7008 and 7016. The biggest common factor number is the GCF number.
So the greatest common factor 7008 and 7016 is 8.

Also check out the Least Common Multiple of 7008 and 7016

Properties of GCF 7008 and 7016

(i) The GCF of 7008 and 7016 is associative

GCF of 7008 and 7016 = GCF of 7016 and 7008

Related Greatest Common Factor of 7008

Related Greatest Common Factor of 7016

Frequently Asked Questions on GCF of 7008 and 7016

1. What is the GCF of 7008 and 7016?

Answer: GCF of 7008 and 7016 is 8.

2. What are the Factors of 7008?

Answer: Factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. There are 24 integers that are factors of 7008. The greatest factor of 7008 is 7008.

3. 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.

4. How to Find the GCF of 7008 and 7016?

Answer:

Greatest Common Factor of 7008 and 7016 = 8

Step 1: Find the prime factorization of 7008

7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

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 7008 and 7016 is 8