Greatest Common Factor of 8096 and 8100

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 8096, 8100 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8096 and 8100 is 4.

GCF(8096,8100) = 4

GCF of 8096 and 8100

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

GCF of:
and

Greatest Common Factor of 8096 and 8100

GCF of 8096 and 8100 is 4

Prime Factorization of 8096


2 8096
2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 8096 are 2,11,23. Prime factorization of 8096 in exponential form is:

8096 = 25×111×231

Prime Factorization of 8100


2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 8100 are 2,3,5. Prime factorization of 8100 in exponential form is:

8100 = 22×34×52

∴ So by taking common prime factors GCF of 8096 and 8100 is 4

Greatest Common Factor of 8096 and 8100 by matching factors method

Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096

Factors of 8100

List of positive integer factors of 8100 that divides 8100 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100

Greatest Common Factor

We found the factors and prime factorization of 8096 and 8100. The biggest common factor number is the GCF number.
So the greatest common factor 8096 and 8100 is 4.

Also check out the Least Common Multiple of 8096 and 8100

Properties of GCF 8096 and 8100

(i) The GCF of 8096 and 8100 is associative

GCF of 8096 and 8100 = GCF of 8100 and 8096

Related Greatest Common Factor of 8096

Related Greatest Common Factor of 8100

Frequently Asked Questions on GCF of 8096 and 8100

1. What is the GCF of 8096 and 8100?

Answer: GCF of 8096 and 8100 is 4.

2. What are the Factors of 8096?

Answer: Factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096. There are 24 integers that are factors of 8096. The greatest factor of 8096 is 8096.

3. What are the Factors of 8100?

Answer: Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100. There are 45 integers that are factors of 8100. The greatest factor of 8100 is 8100.

4. How to Find the GCF of 8096 and 8100?

Answer:

Greatest Common Factor of 8096 and 8100 = 4

Step 1: Find the prime factorization of 8096

8096 = 2 x 2 x 2 x 2 x 2 x 11 x 23

Step 2: Find the prime factorization of 8100

8100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8096 and 8100 is 4