Greatest Common Factor of 36008 and 36014

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 36008, 36014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36008 and 36014 is 2.

GCF(36008,36014) = 2

GCF of 36008 and 36014

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

GCF of:
and

Greatest Common Factor of 36008 and 36014

GCF of 36008 and 36014 is 2

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

Prime Factorization of 36014


2 36014
11 18007
1637 1637
1

Prime factors of 36014 are 2,11,1637. Prime factorization of 36014 in exponential form is:

36014 = 21×111×16371

∴ So by taking common prime factors GCF of 36008 and 36014 is 2

Greatest Common Factor of 36008 and 36014 by matching factors method

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

Factors of 36014

List of positive integer factors of 36014 that divides 36014 without a remainder.

1,2,11,22,1637,3274,18007,36014

Greatest Common Factor

We found the factors and prime factorization of 36008 and 36014. The biggest common factor number is the GCF number.
So the greatest common factor 36008 and 36014 is 2.

Also check out the Least Common Multiple of 36008 and 36014

Properties of GCF 36008 and 36014

(i) The GCF of 36008 and 36014 is associative

GCF of 36008 and 36014 = GCF of 36014 and 36008

Related Greatest Common Factor of 36008

Related Greatest Common Factor of 36014

Frequently Asked Questions on GCF of 36008 and 36014

1. What is the GCF of 36008 and 36014?

Answer: GCF of 36008 and 36014 is 2.

2. 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.

3. What are the Factors of 36014?

Answer: Factors of 36014 are 1, 2, 11, 22, 1637, 3274, 18007, 36014. There are 8 integers that are factors of 36014. The greatest factor of 36014 is 36014.

4. How to Find the GCF of 36008 and 36014?

Answer:

Greatest Common Factor of 36008 and 36014 = 2

Step 1: Find the prime factorization of 36008

36008 = 2 x 2 x 2 x 7 x 643

Step 2: Find the prime factorization of 36014

36014 = 2 x 11 x 1637

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 36008 and 36014 is 2