Greatest Common Factor of 8007 and 8012

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, 8012 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8007 and 8012 is 1.

GCF(8007,8012) = 1

GCF of 8007 and 8012

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

GCF of:
and

Greatest Common Factor of 8007 and 8012

GCF of 8007 and 8012 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 8012


2 8012
2 4006
2003 2003
1

Prime factors of 8012 are 2,2003. Prime factorization of 8012 in exponential form is:

8012 = 22×20031

∴ So by taking common prime factors GCF of 8007 and 8012 is 1

Greatest Common Factor of 8007 and 8012 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 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors and prime factorization of 8007 and 8012. The biggest common factor number is the GCF number.
So the greatest common factor 8007 and 8012 is 1.

Also check out the Least Common Multiple of 8007 and 8012

Properties of GCF 8007 and 8012

(i) The GCF of 8007 and 8012 is associative

GCF of 8007 and 8012 = GCF of 8012 and 8007

Related Greatest Common Factor of 8007

Related Greatest Common Factor of 8012

Frequently Asked Questions on GCF of 8007 and 8012

1. What is the GCF of 8007 and 8012?

Answer: GCF of 8007 and 8012 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 8012?

Answer: Factors of 8012 are 1, 2, 4, 2003, 4006, 8012. There are 6 integers that are factors of 8012. The greatest factor of 8012 is 8012.

4. How to Find the GCF of 8007 and 8012?

Answer:

Greatest Common Factor of 8007 and 8012 = 1

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

Step 2: Find the prime factorization of 8012

8012 = 2 x 2 x 2003

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 8012 is 1