Greatest Common Factor of 2084 and 2090

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 2084, 2090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2084 and 2090 is 2.

GCF(2084,2090) = 2

GCF of 2084 and 2090

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

GCF of:
and

Greatest Common Factor of 2084 and 2090

GCF of 2084 and 2090 is 2

Prime Factorization of 2084


2 2084
2 1042
521 521
1

Prime factors of 2084 are 2,521. Prime factorization of 2084 in exponential form is:

2084 = 22×5211

Prime Factorization of 2090


2 2090
5 1045
11 209
19 19
1

Prime factors of 2090 are 2,5,11,19. Prime factorization of 2090 in exponential form is:

2090 = 21×51×111×191

∴ So by taking common prime factors GCF of 2084 and 2090 is 2

Greatest Common Factor of 2084 and 2090 by matching factors method

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1,2,4,521,1042,2084

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Greatest Common Factor

We found the factors and prime factorization of 2084 and 2090. The biggest common factor number is the GCF number.
So the greatest common factor 2084 and 2090 is 2.

Also check out the Least Common Multiple of 2084 and 2090

Properties of GCF 2084 and 2090

(i) The GCF of 2084 and 2090 is associative

GCF of 2084 and 2090 = GCF of 2090 and 2084

Related Greatest Common Factor of 2084

Related Greatest Common Factor of 2090

Frequently Asked Questions on GCF of 2084 and 2090

1. What is the GCF of 2084 and 2090?

Answer: GCF of 2084 and 2090 is 2.

2. What are the Factors of 2084?

Answer: Factors of 2084 are 1, 2, 4, 521, 1042, 2084. There are 6 integers that are factors of 2084. The greatest factor of 2084 is 2084.

3. What are the Factors of 2090?

Answer: Factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090. There are 16 integers that are factors of 2090. The greatest factor of 2090 is 2090.

4. How to Find the GCF of 2084 and 2090?

Answer:

Greatest Common Factor of 2084 and 2090 = 2

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

Step 2: Find the prime factorization of 2090

2090 = 2 x 5 x 11 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2084 and 2090 is 2