Greatest Common Factor of 8020 and 8025

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 8020, 8025 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8020 and 8025 is 5.

GCF(8020,8025) = 5

GCF of 8020 and 8025

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

GCF of:
and

Greatest Common Factor of 8020 and 8025

GCF of 8020 and 8025 is 5

Prime Factorization of 8020


2 8020
2 4010
5 2005
401 401
1

Prime factors of 8020 are 2,5,401. Prime factorization of 8020 in exponential form is:

8020 = 22×51×4011

Prime Factorization of 8025


3 8025
5 2675
5 535
107 107
1

Prime factors of 8025 are 3,5,107. Prime factorization of 8025 in exponential form is:

8025 = 31×52×1071

∴ So by taking common prime factors GCF of 8020 and 8025 is 5

Greatest Common Factor of 8020 and 8025 by matching factors method

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1,2,4,5,10,20,401,802,1604,2005,4010,8020

Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1,3,5,15,25,75,107,321,535,1605,2675,8025

Greatest Common Factor

We found the factors and prime factorization of 8020 and 8025. The biggest common factor number is the GCF number.
So the greatest common factor 8020 and 8025 is 5.

Also check out the Least Common Multiple of 8020 and 8025

Properties of GCF 8020 and 8025

(i) The GCF of 8020 and 8025 is associative

GCF of 8020 and 8025 = GCF of 8025 and 8020

Related Greatest Common Factor of 8020

Related Greatest Common Factor of 8025

Frequently Asked Questions on GCF of 8020 and 8025

1. What is the GCF of 8020 and 8025?

Answer: GCF of 8020 and 8025 is 5.

2. What are the Factors of 8020?

Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.

3. What are the Factors of 8025?

Answer: Factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025. There are 12 integers that are factors of 8025. The greatest factor of 8025 is 8025.

4. How to Find the GCF of 8020 and 8025?

Answer:

Greatest Common Factor of 8020 and 8025 = 5

Step 1: Find the prime factorization of 8020

8020 = 2 x 2 x 5 x 401

Step 2: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8020 and 8025 is 5