Greatest Common Factor of 8025 and 8026

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, 8026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8025 and 8026 is 1.

GCF(8025,8026) = 1

GCF of 8025 and 8026

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

GCF of:
and

Greatest Common Factor of 8025 and 8026

GCF of 8025 and 8026 is 1

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 8026


2 8026
4013 4013
1

Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:

8026 = 21×40131

∴ So by taking common prime factors GCF of 8025 and 8026 is 1

Greatest Common Factor of 8025 and 8026 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 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1,2,4013,8026

Greatest Common Factor

We found the factors and prime factorization of 8025 and 8026. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8026 is 1.

Also check out the Least Common Multiple of 8025 and 8026

Properties of GCF 8025 and 8026

(i) The GCF of 8025 and 8026 is associative

GCF of 8025 and 8026 = GCF of 8026 and 8025

Related Greatest Common Factor of 8025

Related Greatest Common Factor of 8026

Frequently Asked Questions on GCF of 8025 and 8026

1. What is the GCF of 8025 and 8026?

Answer: GCF of 8025 and 8026 is 1.

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 8026?

Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.

4. How to Find the GCF of 8025 and 8026?

Answer:

Greatest Common Factor of 8025 and 8026 = 1

Step 1: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 8026

8026 = 2 x 4013

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 8025 and 8026 is 1