Greatest Common Factor of 36006 and 36008

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 36006, 36008 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36006 and 36008 is 2.

GCF(36006,36008) = 2

GCF of 36006 and 36008

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

GCF of:
and

Greatest Common Factor of 36006 and 36008

GCF of 36006 and 36008 is 2

Prime Factorization of 36006


2 36006
3 18003
17 6001
353 353
1

Prime factors of 36006 are 2,3,17,353. Prime factorization of 36006 in exponential form is:

36006 = 21×31×171×3531

Prime Factorization of 36008


2 36008
2 18004
2 9002
7 4501
643 643
1

Prime factors of 36008 are 2,7,643. Prime factorization of 36008 in exponential form is:

36008 = 23×71×6431

∴ So by taking common prime factors GCF of 36006 and 36008 is 2

Greatest Common Factor of 36006 and 36008 by matching factors method

Factors of 36006

List of positive integer factors of 36006 that divides 36006 without a remainder.

1,2,3,6,17,34,51,102,353,706,1059,2118,6001,12002,18003,36006

Factors of 36008

List of positive integer factors of 36008 that divides 36008 without a remainder.

1,2,4,7,8,14,28,56,643,1286,2572,4501,5144,9002,18004,36008

Greatest Common Factor

We found the factors and prime factorization of 36006 and 36008. The biggest common factor number is the GCF number.
So the greatest common factor 36006 and 36008 is 2.

Also check out the Least Common Multiple of 36006 and 36008

Properties of GCF 36006 and 36008

(i) The GCF of 36006 and 36008 is associative

GCF of 36006 and 36008 = GCF of 36008 and 36006

Related Greatest Common Factor of 36006

Related Greatest Common Factor of 36008

Frequently Asked Questions on GCF of 36006 and 36008

1. What is the GCF of 36006 and 36008?

Answer: GCF of 36006 and 36008 is 2.

2. What are the Factors of 36006?

Answer: Factors of 36006 are 1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006. There are 16 integers that are factors of 36006. The greatest factor of 36006 is 36006.

3. What are the Factors of 36008?

Answer: Factors of 36008 are 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008. There are 16 integers that are factors of 36008. The greatest factor of 36008 is 36008.

4. How to Find the GCF of 36006 and 36008?

Answer:

Greatest Common Factor of 36006 and 36008 = 2

Step 1: Find the prime factorization of 36006

36006 = 2 x 3 x 17 x 353

Step 2: Find the prime factorization of 36008

36008 = 2 x 2 x 2 x 7 x 643

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

GCF = 2

Step 4: Therefore, the greatest common factor of 36006 and 36008 is 2