Greatest Common Factor of 36042 and 36048

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 36042, 36048 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36042 and 36048 is 6.

GCF(36042,36048) = 6

GCF of 36042 and 36048

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

GCF of:
and

Greatest Common Factor of 36042 and 36048

GCF of 36042 and 36048 is 6

Prime Factorization of 36042


2 36042
3 18021
6007 6007
1

Prime factors of 36042 are 2,3,6007. Prime factorization of 36042 in exponential form is:

36042 = 21×31×60071

Prime Factorization of 36048


2 36048
2 18024
2 9012
2 4506
3 2253
751 751
1

Prime factors of 36048 are 2,3,751. Prime factorization of 36048 in exponential form is:

36048 = 24×31×7511

∴ So by taking common prime factors GCF of 36042 and 36048 is 6

Greatest Common Factor of 36042 and 36048 by matching factors method

Factors of 36042

List of positive integer factors of 36042 that divides 36042 without a remainder.

1,2,3,6,6007,12014,18021,36042

Factors of 36048

List of positive integer factors of 36048 that divides 36048 without a remainder.

1,2,3,4,6,8,12,16,24,48,751,1502,2253,3004,4506,6008,9012,12016,18024,36048

Greatest Common Factor

We found the factors and prime factorization of 36042 and 36048. The biggest common factor number is the GCF number.
So the greatest common factor 36042 and 36048 is 6.

Also check out the Least Common Multiple of 36042 and 36048

Properties of GCF 36042 and 36048

(i) The GCF of 36042 and 36048 is associative

GCF of 36042 and 36048 = GCF of 36048 and 36042

Related Greatest Common Factor of 36042

Related Greatest Common Factor of 36048

Frequently Asked Questions on GCF of 36042 and 36048

1. What is the GCF of 36042 and 36048?

Answer: GCF of 36042 and 36048 is 6.

2. What are the Factors of 36042?

Answer: Factors of 36042 are 1, 2, 3, 6, 6007, 12014, 18021, 36042. There are 8 integers that are factors of 36042. The greatest factor of 36042 is 36042.

3. What are the Factors of 36048?

Answer: Factors of 36048 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024, 36048. There are 20 integers that are factors of 36048. The greatest factor of 36048 is 36048.

4. How to Find the GCF of 36042 and 36048?

Answer:

Greatest Common Factor of 36042 and 36048 = 6

Step 1: Find the prime factorization of 36042

36042 = 2 x 3 x 6007

Step 2: Find the prime factorization of 36048

36048 = 2 x 2 x 2 x 2 x 3 x 751

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 36042 and 36048 is 6