Greatest Common Factor of 36038 and 36042

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 36038, 36042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36038 and 36042 is 2.

GCF(36038,36042) = 2

GCF of 36038 and 36042

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

GCF of:
and

Greatest Common Factor of 36038 and 36042

GCF of 36038 and 36042 is 2

Prime Factorization of 36038


2 36038
37 18019
487 487
1

Prime factors of 36038 are 2,37,487. Prime factorization of 36038 in exponential form is:

36038 = 21×371×4871

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

∴ So by taking common prime factors GCF of 36038 and 36042 is 2

Greatest Common Factor of 36038 and 36042 by matching factors method

Factors of 36038

List of positive integer factors of 36038 that divides 36038 without a remainder.

1,2,37,74,487,974,18019,36038

Factors of 36042

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

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

Greatest Common Factor

We found the factors and prime factorization of 36038 and 36042. The biggest common factor number is the GCF number.
So the greatest common factor 36038 and 36042 is 2.

Also check out the Least Common Multiple of 36038 and 36042

Properties of GCF 36038 and 36042

(i) The GCF of 36038 and 36042 is associative

GCF of 36038 and 36042 = GCF of 36042 and 36038

Related Greatest Common Factor of 36038

Related Greatest Common Factor of 36042

Frequently Asked Questions on GCF of 36038 and 36042

1. What is the GCF of 36038 and 36042?

Answer: GCF of 36038 and 36042 is 2.

2. What are the Factors of 36038?

Answer: Factors of 36038 are 1, 2, 37, 74, 487, 974, 18019, 36038. There are 8 integers that are factors of 36038. The greatest factor of 36038 is 36038.

3. 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.

4. How to Find the GCF of 36038 and 36042?

Answer:

Greatest Common Factor of 36038 and 36042 = 2

Step 1: Find the prime factorization of 36038

36038 = 2 x 37 x 487

Step 2: Find the prime factorization of 36042

36042 = 2 x 3 x 6007

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 36038 and 36042 is 2