Greatest Common Factor of 8007 and 8015

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 8007, 8015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8007 and 8015 is 1.

GCF(8007,8015) = 1

GCF of 8007 and 8015

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

GCF of:
and

Greatest Common Factor of 8007 and 8015

GCF of 8007 and 8015 is 1

Prime Factorization of 8007


3 8007
17 2669
157 157
1

Prime factors of 8007 are 3,17,157. Prime factorization of 8007 in exponential form is:

8007 = 31×171×1571

Prime Factorization of 8015


5 8015
7 1603
229 229
1

Prime factors of 8015 are 5,7,229. Prime factorization of 8015 in exponential form is:

8015 = 51×71×2291

∴ So by taking common prime factors GCF of 8007 and 8015 is 1

Greatest Common Factor of 8007 and 8015 by matching factors method

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1,3,17,51,157,471,2669,8007

Factors of 8015

List of positive integer factors of 8015 that divides 8015 without a remainder.

1,5,7,35,229,1145,1603,8015

Greatest Common Factor

We found the factors and prime factorization of 8007 and 8015. The biggest common factor number is the GCF number.
So the greatest common factor 8007 and 8015 is 1.

Also check out the Least Common Multiple of 8007 and 8015

Properties of GCF 8007 and 8015

(i) The GCF of 8007 and 8015 is associative

GCF of 8007 and 8015 = GCF of 8015 and 8007

Related Greatest Common Factor of 8007

Related Greatest Common Factor of 8015

Frequently Asked Questions on GCF of 8007 and 8015

1. What is the GCF of 8007 and 8015?

Answer: GCF of 8007 and 8015 is 1.

2. What are the Factors of 8007?

Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.

3. What are the Factors of 8015?

Answer: Factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015. There are 8 integers that are factors of 8015. The greatest factor of 8015 is 8015.

4. How to Find the GCF of 8007 and 8015?

Answer:

Greatest Common Factor of 8007 and 8015 = 1

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

Step 2: Find the prime factorization of 8015

8015 = 5 x 7 x 229

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 8007 and 8015 is 1