Greatest Common Factor of 8100 and 8104

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 8100, 8104 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8100 and 8104 is 4.

GCF(8100,8104) = 4

GCF of 8100 and 8104

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

GCF of:
and

Greatest Common Factor of 8100 and 8104

GCF of 8100 and 8104 is 4

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

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

∴ So by taking common prime factors GCF of 8100 and 8104 is 4

Greatest Common Factor of 8100 and 8104 by matching factors method

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

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1,2,4,8,1013,2026,4052,8104

Greatest Common Factor

We found the factors and prime factorization of 8100 and 8104. The biggest common factor number is the GCF number.
So the greatest common factor 8100 and 8104 is 4.

Also check out the Least Common Multiple of 8100 and 8104

Properties of GCF 8100 and 8104

(i) The GCF of 8100 and 8104 is associative

GCF of 8100 and 8104 = GCF of 8104 and 8100

Related Greatest Common Factor of 8100

Related Greatest Common Factor of 8104

Frequently Asked Questions on GCF of 8100 and 8104

1. What is the GCF of 8100 and 8104?

Answer: GCF of 8100 and 8104 is 4.

2. 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.

3. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

4. How to Find the GCF of 8100 and 8104?

Answer:

Greatest Common Factor of 8100 and 8104 = 4

Step 1: Find the prime factorization of 8100

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

Step 2: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

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 8100 and 8104 is 4