Greatest Common Factor of 2076 and 2084

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 2076, 2084 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2076 and 2084 is 4.

GCF(2076,2084) = 4

GCF of 2076 and 2084

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

GCF of:
and

Greatest Common Factor of 2076 and 2084

GCF of 2076 and 2084 is 4

Prime Factorization of 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2,3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

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

∴ So by taking common prime factors GCF of 2076 and 2084 is 4

Greatest Common Factor of 2076 and 2084 by matching factors method

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1,2,3,4,6,12,173,346,519,692,1038,2076

Factors of 2084

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

1,2,4,521,1042,2084

Greatest Common Factor

We found the factors and prime factorization of 2076 and 2084. The biggest common factor number is the GCF number.
So the greatest common factor 2076 and 2084 is 4.

Also check out the Least Common Multiple of 2076 and 2084

Properties of GCF 2076 and 2084

(i) The GCF of 2076 and 2084 is associative

GCF of 2076 and 2084 = GCF of 2084 and 2076

Related Greatest Common Factor of 2076

Related Greatest Common Factor of 2084

Frequently Asked Questions on GCF of 2076 and 2084

1. What is the GCF of 2076 and 2084?

Answer: GCF of 2076 and 2084 is 4.

2. What are the Factors of 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

3. 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.

4. How to Find the GCF of 2076 and 2084?

Answer:

Greatest Common Factor of 2076 and 2084 = 4

Step 1: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

Step 2: Find the prime factorization of 2084

2084 = 2 x 2 x 521

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 2076 and 2084 is 4