Greatest Common Factor of 2100 and 2103

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, 2103 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2100 and 2103 is 3.

GCF(2100,2103) = 3

GCF of 2100 and 2103

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

GCF of:
and

Greatest Common Factor of 2100 and 2103

GCF of 2100 and 2103 is 3

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 2103


3 2103
701 701
1

Prime factors of 2103 are 3,701. Prime factorization of 2103 in exponential form is:

2103 = 31×7011

∴ So by taking common prime factors GCF of 2100 and 2103 is 3

Greatest Common Factor of 2100 and 2103 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 2103

List of positive integer factors of 2103 that divides 2103 without a remainder.

1,3,701,2103

Greatest Common Factor

We found the factors and prime factorization of 2100 and 2103. The biggest common factor number is the GCF number.
So the greatest common factor 2100 and 2103 is 3.

Also check out the Least Common Multiple of 2100 and 2103

Properties of GCF 2100 and 2103

(i) The GCF of 2100 and 2103 is associative

GCF of 2100 and 2103 = GCF of 2103 and 2100

Related Greatest Common Factor of 2100

Related Greatest Common Factor of 2103

Frequently Asked Questions on GCF of 2100 and 2103

1. What is the GCF of 2100 and 2103?

Answer: GCF of 2100 and 2103 is 3.

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 2103?

Answer: Factors of 2103 are 1, 3, 701, 2103. There are 4 integers that are factors of 2103. The greatest factor of 2103 is 2103.

4. How to Find the GCF of 2100 and 2103?

Answer:

Greatest Common Factor of 2100 and 2103 = 3

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 2103

2103 = 3 x 701

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 2100 and 2103 is 3