Greatest Common Factor of 8025 and 8028

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, 8028 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8025 and 8028 is 3.

GCF(8025,8028) = 3

GCF of 8025 and 8028

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

GCF of:
and

Greatest Common Factor of 8025 and 8028

GCF of 8025 and 8028 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 8028


2 8028
2 4014
3 2007
3 669
223 223
1

Prime factors of 8028 are 2,3,223. Prime factorization of 8028 in exponential form is:

8028 = 22×32×2231

∴ So by taking common prime factors GCF of 8025 and 8028 is 3

Greatest Common Factor of 8025 and 8028 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 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors and prime factorization of 8025 and 8028. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8028 is 3.

Also check out the Least Common Multiple of 8025 and 8028

Properties of GCF 8025 and 8028

(i) The GCF of 8025 and 8028 is associative

GCF of 8025 and 8028 = GCF of 8028 and 8025

Related Greatest Common Factor of 8025

Related Greatest Common Factor of 8028

Frequently Asked Questions on GCF of 8025 and 8028

1. What is the GCF of 8025 and 8028?

Answer: GCF of 8025 and 8028 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 8028?

Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.

4. How to Find the GCF of 8025 and 8028?

Answer:

Greatest Common Factor of 8025 and 8028 = 3

Step 1: Find the prime factorization of 8025

8025 = 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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 8028 is 3