Greatest Common Factor of 7004 and 7008

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 7004, 7008 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7004 and 7008 is 4.

GCF(7004,7008) = 4

GCF of 7004 and 7008

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

GCF of:
and

Greatest Common Factor of 7004 and 7008

GCF of 7004 and 7008 is 4

Prime Factorization of 7004


2 7004
2 3502
17 1751
103 103
1

Prime factors of 7004 are 2,17,103. Prime factorization of 7004 in exponential form is:

7004 = 22×171×1031

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

∴ So by taking common prime factors GCF of 7004 and 7008 is 4

Greatest Common Factor of 7004 and 7008 by matching factors method

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

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

Greatest Common Factor

We found the factors and prime factorization of 7004 and 7008. The biggest common factor number is the GCF number.
So the greatest common factor 7004 and 7008 is 4.

Also check out the Least Common Multiple of 7004 and 7008

Properties of GCF 7004 and 7008

(i) The GCF of 7004 and 7008 is associative

GCF of 7004 and 7008 = GCF of 7008 and 7004

Related Greatest Common Factor of 7004

Related Greatest Common Factor of 7008

Frequently Asked Questions on GCF of 7004 and 7008

1. What is the GCF of 7004 and 7008?

Answer: GCF of 7004 and 7008 is 4.

2. What are the Factors of 7004?

Answer: Factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004. There are 12 integers that are factors of 7004. The greatest factor of 7004 is 7004.

3. 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.

4. How to Find the GCF of 7004 and 7008?

Answer:

Greatest Common Factor of 7004 and 7008 = 4

Step 1: Find the prime factorization of 7004

7004 = 2 x 2 x 17 x 103

Step 2: Find the prime factorization of 7008

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7004 and 7008 is 4