Greatest Common Factor of 2008 and 2015

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 2008, 2015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2008 and 2015 is 1.

GCF(2008,2015) = 1

GCF of 2008 and 2015

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

GCF of:
and

Greatest Common Factor of 2008 and 2015

GCF of 2008 and 2015 is 1

Prime Factorization of 2008


2 2008
2 1004
2 502
251 251
1

Prime factors of 2008 are 2,251. Prime factorization of 2008 in exponential form is:

2008 = 23×2511

Prime Factorization of 2015


5 2015
13 403
31 31
1

Prime factors of 2015 are 5,13,31. Prime factorization of 2015 in exponential form is:

2015 = 51×131×311

∴ So by taking common prime factors GCF of 2008 and 2015 is 1

Greatest Common Factor of 2008 and 2015 by matching factors method

Factors of 2008

List of positive integer factors of 2008 that divides 2008 without a remainder.

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

Factors of 2015

List of positive integer factors of 2015 that divides 2015 without a remainder.

1,5,13,31,65,155,403,2015

Greatest Common Factor

We found the factors and prime factorization of 2008 and 2015. The biggest common factor number is the GCF number.
So the greatest common factor 2008 and 2015 is 1.

Also check out the Least Common Multiple of 2008 and 2015

Properties of GCF 2008 and 2015

(i) The GCF of 2008 and 2015 is associative

GCF of 2008 and 2015 = GCF of 2015 and 2008

Related Greatest Common Factor of 2008

Related Greatest Common Factor of 2015

Frequently Asked Questions on GCF of 2008 and 2015

1. What is the GCF of 2008 and 2015?

Answer: GCF of 2008 and 2015 is 1.

2. What are the Factors of 2008?

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

3. What are the Factors of 2015?

Answer: Factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. There are 8 integers that are factors of 2015. The greatest factor of 2015 is 2015.

4. How to Find the GCF of 2008 and 2015?

Answer:

Greatest Common Factor of 2008 and 2015 = 1

Step 1: Find the prime factorization of 2008

2008 = 2 x 2 x 2 x 251

Step 2: Find the prime factorization of 2015

2015 = 5 x 13 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2008 and 2015 is 1