Greatest Common Factor of 2093 and 2100

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 2093, 2100 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2093 and 2100 is 7.

GCF(2093,2100) = 7

GCF of 2093 and 2100

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

GCF of:
and

Greatest Common Factor of 2093 and 2100

GCF of 2093 and 2100 is 7

Prime Factorization of 2093


7 2093
13 299
23 23
1

Prime factors of 2093 are 7,13,23. Prime factorization of 2093 in exponential form is:

2093 = 71×131×231

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

∴ So by taking common prime factors GCF of 2093 and 2100 is 7

Greatest Common Factor of 2093 and 2100 by matching factors method

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1,7,13,23,91,161,299,2093

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

Greatest Common Factor

We found the factors and prime factorization of 2093 and 2100. The biggest common factor number is the GCF number.
So the greatest common factor 2093 and 2100 is 7.

Also check out the Least Common Multiple of 2093 and 2100

Properties of GCF 2093 and 2100

(i) The GCF of 2093 and 2100 is associative

GCF of 2093 and 2100 = GCF of 2100 and 2093

Related Greatest Common Factor of 2093

Related Greatest Common Factor of 2100

Frequently Asked Questions on GCF of 2093 and 2100

1. What is the GCF of 2093 and 2100?

Answer: GCF of 2093 and 2100 is 7.

2. What are the Factors of 2093?

Answer: Factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093. There are 8 integers that are factors of 2093. The greatest factor of 2093 is 2093.

3. 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.

4. How to Find the GCF of 2093 and 2100?

Answer:

Greatest Common Factor of 2093 and 2100 = 7

Step 1: Find the prime factorization of 2093

2093 = 7 x 13 x 23

Step 2: Find the prime factorization of 2100

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

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2093 and 2100 is 7