Greatest Common Factor of 2078 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 2078, 2084 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2078 and 2084 is 2.

GCF(2078,2084) = 2

GCF of 2078 and 2084

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

GCF of:
and

Greatest Common Factor of 2078 and 2084

GCF of 2078 and 2084 is 2

Prime Factorization of 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

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 2078 and 2084 is 2

Greatest Common Factor of 2078 and 2084 by matching factors method

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

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 2078 and 2084. The biggest common factor number is the GCF number.
So the greatest common factor 2078 and 2084 is 2.

Also check out the Least Common Multiple of 2078 and 2084

Properties of GCF 2078 and 2084

(i) The GCF of 2078 and 2084 is associative

GCF of 2078 and 2084 = GCF of 2084 and 2078

Related Greatest Common Factor of 2078

Related Greatest Common Factor of 2084

Frequently Asked Questions on GCF of 2078 and 2084

1. What is the GCF of 2078 and 2084?

Answer: GCF of 2078 and 2084 is 2.

2. What are the Factors of 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

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 2078 and 2084?

Answer:

Greatest Common Factor of 2078 and 2084 = 2

Step 1: Find the prime factorization of 2078

2078 = 2 x 1039

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

Step 4: Therefore, the greatest common factor of 2078 and 2084 is 2