Greatest Common Factor of 8007 and 8013

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, 8013 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8007 and 8013 is 3.

GCF(8007,8013) = 3

GCF of 8007 and 8013

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

GCF of:
and

Greatest Common Factor of 8007 and 8013

GCF of 8007 and 8013 is 3

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 8013


3 8013
2671 2671
1

Prime factors of 8013 are 3,2671. Prime factorization of 8013 in exponential form is:

8013 = 31×26711

∴ So by taking common prime factors GCF of 8007 and 8013 is 3

Greatest Common Factor of 8007 and 8013 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 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1,3,2671,8013

Greatest Common Factor

We found the factors and prime factorization of 8007 and 8013. The biggest common factor number is the GCF number.
So the greatest common factor 8007 and 8013 is 3.

Also check out the Least Common Multiple of 8007 and 8013

Properties of GCF 8007 and 8013

(i) The GCF of 8007 and 8013 is associative

GCF of 8007 and 8013 = GCF of 8013 and 8007

Related Greatest Common Factor of 8007

Related Greatest Common Factor of 8013

Frequently Asked Questions on GCF of 8007 and 8013

1. What is the GCF of 8007 and 8013?

Answer: GCF of 8007 and 8013 is 3.

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 8013?

Answer: Factors of 8013 are 1, 3, 2671, 8013. There are 4 integers that are factors of 8013. The greatest factor of 8013 is 8013.

4. How to Find the GCF of 8007 and 8013?

Answer:

Greatest Common Factor of 8007 and 8013 = 3

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

Step 2: Find the prime factorization of 8013

8013 = 3 x 2671

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8007 and 8013 is 3