Greatest Common Factor of 7007 and 7015

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 7007, 7015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7007 and 7015 is 1.

GCF(7007,7015) = 1

GCF of 7007 and 7015

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

GCF of:
and

Greatest Common Factor of 7007 and 7015

GCF of 7007 and 7015 is 1

Prime Factorization of 7007


7 7007
7 1001
11 143
13 13
1

Prime factors of 7007 are 7,11,13. Prime factorization of 7007 in exponential form is:

7007 = 72×111×131

Prime Factorization of 7015


5 7015
23 1403
61 61
1

Prime factors of 7015 are 5,23,61. Prime factorization of 7015 in exponential form is:

7015 = 51×231×611

∴ So by taking common prime factors GCF of 7007 and 7015 is 1

Greatest Common Factor of 7007 and 7015 by matching factors method

Factors of 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1,7,11,13,49,77,91,143,539,637,1001,7007

Factors of 7015

List of positive integer factors of 7015 that divides 7015 without a remainder.

1,5,23,61,115,305,1403,7015

Greatest Common Factor

We found the factors and prime factorization of 7007 and 7015. The biggest common factor number is the GCF number.
So the greatest common factor 7007 and 7015 is 1.

Also check out the Least Common Multiple of 7007 and 7015

Properties of GCF 7007 and 7015

(i) The GCF of 7007 and 7015 is associative

GCF of 7007 and 7015 = GCF of 7015 and 7007

Related Greatest Common Factor of 7007

Related Greatest Common Factor of 7015

Frequently Asked Questions on GCF of 7007 and 7015

1. What is the GCF of 7007 and 7015?

Answer: GCF of 7007 and 7015 is 1.

2. What are the Factors of 7007?

Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.

3. What are the Factors of 7015?

Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.

4. How to Find the GCF of 7007 and 7015?

Answer:

Greatest Common Factor of 7007 and 7015 = 1

Step 1: Find the prime factorization of 7007

7007 = 7 x 7 x 11 x 13

Step 2: Find the prime factorization of 7015

7015 = 5 x 23 x 61

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 7007 and 7015 is 1