Greatest Common Factor of 2074 and 2082

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 2074, 2082 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2074 and 2082 is 2.

GCF(2074,2082) = 2

GCF of 2074 and 2082

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

GCF of:
and

Greatest Common Factor of 2074 and 2082

GCF of 2074 and 2082 is 2

Prime Factorization of 2074


2 2074
17 1037
61 61
1

Prime factors of 2074 are 2,17,61. Prime factorization of 2074 in exponential form is:

2074 = 21×171×611

Prime Factorization of 2082


2 2082
3 1041
347 347
1

Prime factors of 2082 are 2,3,347. Prime factorization of 2082 in exponential form is:

2082 = 21×31×3471

∴ So by taking common prime factors GCF of 2074 and 2082 is 2

Greatest Common Factor of 2074 and 2082 by matching factors method

Factors of 2074

List of positive integer factors of 2074 that divides 2074 without a remainder.

1,2,17,34,61,122,1037,2074

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors and prime factorization of 2074 and 2082. The biggest common factor number is the GCF number.
So the greatest common factor 2074 and 2082 is 2.

Also check out the Least Common Multiple of 2074 and 2082

Properties of GCF 2074 and 2082

(i) The GCF of 2074 and 2082 is associative

GCF of 2074 and 2082 = GCF of 2082 and 2074

Related Greatest Common Factor of 2074

Related Greatest Common Factor of 2082

Frequently Asked Questions on GCF of 2074 and 2082

1. What is the GCF of 2074 and 2082?

Answer: GCF of 2074 and 2082 is 2.

2. What are the Factors of 2074?

Answer: Factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074. There are 8 integers that are factors of 2074. The greatest factor of 2074 is 2074.

3. What are the Factors of 2082?

Answer: Factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082. There are 8 integers that are factors of 2082. The greatest factor of 2082 is 2082.

4. How to Find the GCF of 2074 and 2082?

Answer:

Greatest Common Factor of 2074 and 2082 = 2

Step 1: Find the prime factorization of 2074

2074 = 2 x 17 x 61

Step 2: Find the prime factorization of 2082

2082 = 2 x 3 x 347

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 2074 and 2082 is 2