Greatest Common Factor of 36004 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 36004, 36008 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36004 and 36008 is 4.

GCF(36004,36008) = 4

GCF of 36004 and 36008

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

GCF of:
and

Greatest Common Factor of 36004 and 36008

GCF of 36004 and 36008 is 4

Prime Factorization of 36004


2 36004
2 18002
9001 9001
1

Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:

36004 = 22×90011

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 36004 and 36008 is 4

Greatest Common Factor of 36004 and 36008 by matching factors method

Factors of 36004

List of positive integer factors of 36004 that divides 36004 without a remainder.

1,2,4,9001,18002,36004

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 36004 and 36008. The biggest common factor number is the GCF number.
So the greatest common factor 36004 and 36008 is 4.

Also check out the Least Common Multiple of 36004 and 36008

Properties of GCF 36004 and 36008

(i) The GCF of 36004 and 36008 is associative

GCF of 36004 and 36008 = GCF of 36008 and 36004

Related Greatest Common Factor of 36004

Related Greatest Common Factor of 36008

Frequently Asked Questions on GCF of 36004 and 36008

1. What is the GCF of 36004 and 36008?

Answer: GCF of 36004 and 36008 is 4.

2. What are the Factors of 36004?

Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.

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 36004 and 36008?

Answer:

Greatest Common Factor of 36004 and 36008 = 4

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 36004 and 36008 is 4