Greatest Common Factor of 36021 and 36025

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 36021, 36025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36021 and 36025 is 1.

GCF(36021,36025) = 1

GCF of 36021 and 36025

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

GCF of:
and

Greatest Common Factor of 36021 and 36025

GCF of 36021 and 36025 is 1

Prime Factorization of 36021


3 36021
12007 12007
1

Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:

36021 = 31×120071

Prime Factorization of 36025


5 36025
5 7205
11 1441
131 131
1

Prime factors of 36025 are 5,11,131. Prime factorization of 36025 in exponential form is:

36025 = 52×111×1311

∴ So by taking common prime factors GCF of 36021 and 36025 is 1

Greatest Common Factor of 36021 and 36025 by matching factors method

Factors of 36021

List of positive integer factors of 36021 that divides 36021 without a remainder.

1,3,12007,36021

Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1,5,11,25,55,131,275,655,1441,3275,7205,36025

Greatest Common Factor

We found the factors and prime factorization of 36021 and 36025. The biggest common factor number is the GCF number.
So the greatest common factor 36021 and 36025 is 1.

Also check out the Least Common Multiple of 36021 and 36025

Properties of GCF 36021 and 36025

(i) The GCF of 36021 and 36025 is associative

GCF of 36021 and 36025 = GCF of 36025 and 36021

Related Greatest Common Factor of 36021

Related Greatest Common Factor of 36025

Frequently Asked Questions on GCF of 36021 and 36025

1. What is the GCF of 36021 and 36025?

Answer: GCF of 36021 and 36025 is 1.

2. What are the Factors of 36021?

Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.

3. What are the Factors of 36025?

Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.

4. How to Find the GCF of 36021 and 36025?

Answer:

Greatest Common Factor of 36021 and 36025 = 1

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36025

36025 = 5 x 5 x 11 x 131

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 36021 and 36025 is 1