Greatest Common Factor of 2100 and 2104

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 2100, 2104 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2100 and 2104 is 4.

GCF(2100,2104) = 4

GCF of 2100 and 2104

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

GCF of:
and

Greatest Common Factor of 2100 and 2104

GCF of 2100 and 2104 is 4

Prime Factorization of 2100


2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 2100 are 2,3,5,7. Prime factorization of 2100 in exponential form is:

2100 = 22×31×52×71

Prime Factorization of 2104


2 2104
2 1052
2 526
263 263
1

Prime factors of 2104 are 2,263. Prime factorization of 2104 in exponential form is:

2104 = 23×2631

∴ So by taking common prime factors GCF of 2100 and 2104 is 4

Greatest Common Factor of 2100 and 2104 by matching factors method

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Factors of 2104

List of positive integer factors of 2104 that divides 2104 without a remainder.

1,2,4,8,263,526,1052,2104

Greatest Common Factor

We found the factors and prime factorization of 2100 and 2104. The biggest common factor number is the GCF number.
So the greatest common factor 2100 and 2104 is 4.

Also check out the Least Common Multiple of 2100 and 2104

Properties of GCF 2100 and 2104

(i) The GCF of 2100 and 2104 is associative

GCF of 2100 and 2104 = GCF of 2104 and 2100

Related Greatest Common Factor of 2100

Related Greatest Common Factor of 2104

Frequently Asked Questions on GCF of 2100 and 2104

1. What is the GCF of 2100 and 2104?

Answer: GCF of 2100 and 2104 is 4.

2. What are the Factors of 2100?

Answer: Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100. There are 36 integers that are factors of 2100. The greatest factor of 2100 is 2100.

3. What are the Factors of 2104?

Answer: Factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104. There are 8 integers that are factors of 2104. The greatest factor of 2104 is 2104.

4. How to Find the GCF of 2100 and 2104?

Answer:

Greatest Common Factor of 2100 and 2104 = 4

Step 1: Find the prime factorization of 2100

2100 = 2 x 2 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 2104

2104 = 2 x 2 x 2 x 263

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 2100 and 2104 is 4