Greatest Common Factor of 36023 and 36028

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 36023, 36028 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36023 and 36028 is 1.

GCF(36023,36028) = 1

GCF of 36023 and 36028

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

GCF of:
and

Greatest Common Factor of 36023 and 36028

GCF of 36023 and 36028 is 1

Prime Factorization of 36023


13 36023
17 2771
163 163
1

Prime factors of 36023 are 13,17,163. Prime factorization of 36023 in exponential form is:

36023 = 131×171×1631

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

∴ So by taking common prime factors GCF of 36023 and 36028 is 1

Greatest Common Factor of 36023 and 36028 by matching factors method

Factors of 36023

List of positive integer factors of 36023 that divides 36023 without a remainder.

1,13,17,163,221,2119,2771,36023

Factors of 36028

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

1,2,4,9007,18014,36028

Greatest Common Factor

We found the factors and prime factorization of 36023 and 36028. The biggest common factor number is the GCF number.
So the greatest common factor 36023 and 36028 is 1.

Also check out the Least Common Multiple of 36023 and 36028

Properties of GCF 36023 and 36028

(i) The GCF of 36023 and 36028 is associative

GCF of 36023 and 36028 = GCF of 36028 and 36023

Frequently Asked Questions on GCF of 36023 and 36028

1. What is the GCF of 36023 and 36028?

Answer: GCF of 36023 and 36028 is 1.

2. What are the Factors of 36023?

Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.

3. 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.

4. How to Find the GCF of 36023 and 36028?

Answer:

Greatest Common Factor of 36023 and 36028 = 1

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

Step 2: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

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 36023 and 36028 is 1