Greatest Common Factor of 8025 and 8031

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 8025, 8031 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8025 and 8031 is 3.

GCF(8025,8031) = 3

GCF of 8025 and 8031

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

GCF of:
and

Greatest Common Factor of 8025 and 8031

GCF of 8025 and 8031 is 3

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

Prime Factorization of 8031


3 8031
2677 2677
1

Prime factors of 8031 are 3,2677. Prime factorization of 8031 in exponential form is:

8031 = 31×26771

∴ So by taking common prime factors GCF of 8025 and 8031 is 3

Greatest Common Factor of 8025 and 8031 by matching factors method

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

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1,3,2677,8031

Greatest Common Factor

We found the factors and prime factorization of 8025 and 8031. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8031 is 3.

Also check out the Least Common Multiple of 8025 and 8031

Properties of GCF 8025 and 8031

(i) The GCF of 8025 and 8031 is associative

GCF of 8025 and 8031 = GCF of 8031 and 8025

Related Greatest Common Factor of 8025

Related Greatest Common Factor of 8031

Frequently Asked Questions on GCF of 8025 and 8031

1. What is the GCF of 8025 and 8031?

Answer: GCF of 8025 and 8031 is 3.

2. 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.

3. What are the Factors of 8031?

Answer: Factors of 8031 are 1, 3, 2677, 8031. There are 4 integers that are factors of 8031. The greatest factor of 8031 is 8031.

4. How to Find the GCF of 8025 and 8031?

Answer:

Greatest Common Factor of 8025 and 8031 = 3

Step 1: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 8031

8031 = 3 x 2677

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8025 and 8031 is 3