Greatest Common Factor of 36028 and 36035

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 36028, 36035 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36028 and 36035 is 1.

GCF(36028,36035) = 1

GCF of 36028 and 36035

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

GCF of:
and

Greatest Common Factor of 36028 and 36035

GCF of 36028 and 36035 is 1

Prime Factorization of 36028


2 36028
2 18014
9007 9007
1

Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:

36028 = 22×90071

Prime Factorization of 36035


5 36035
7207 7207
1

Prime factors of 36035 are 5,7207. Prime factorization of 36035 in exponential form is:

36035 = 51×72071

∴ So by taking common prime factors GCF of 36028 and 36035 is 1

Greatest Common Factor of 36028 and 36035 by matching factors method

Factors of 36028

List of positive integer factors of 36028 that divides 36028 without a remainder.

1,2,4,9007,18014,36028

Factors of 36035

List of positive integer factors of 36035 that divides 36035 without a remainder.

1,5,7207,36035

Greatest Common Factor

We found the factors and prime factorization of 36028 and 36035. The biggest common factor number is the GCF number.
So the greatest common factor 36028 and 36035 is 1.

Also check out the Least Common Multiple of 36028 and 36035

Properties of GCF 36028 and 36035

(i) The GCF of 36028 and 36035 is associative

GCF of 36028 and 36035 = GCF of 36035 and 36028

Related Greatest Common Factor of 36028

Related Greatest Common Factor of 36035

Frequently Asked Questions on GCF of 36028 and 36035

1. What is the GCF of 36028 and 36035?

Answer: GCF of 36028 and 36035 is 1.

2. What are the Factors of 36028?

Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.

3. What are the Factors of 36035?

Answer: Factors of 36035 are 1, 5, 7207, 36035. There are 4 integers that are factors of 36035. The greatest factor of 36035 is 36035.

4. How to Find the GCF of 36028 and 36035?

Answer:

Greatest Common Factor of 36028 and 36035 = 1

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36035

36035 = 5 x 7207

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 36028 and 36035 is 1