Greatest Common Factor of 2074 and 2078

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, 2078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2074 and 2078 is 2.

GCF(2074,2078) = 2

GCF of 2074 and 2078

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

GCF of:
and

Greatest Common Factor of 2074 and 2078

GCF of 2074 and 2078 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 2078


2 2078
1039 1039
1

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

2078 = 21×10391

∴ So by taking common prime factors GCF of 2074 and 2078 is 2

Greatest Common Factor of 2074 and 2078 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 2078

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

1,2,1039,2078

Greatest Common Factor

We found the factors and prime factorization of 2074 and 2078. The biggest common factor number is the GCF number.
So the greatest common factor 2074 and 2078 is 2.

Also check out the Least Common Multiple of 2074 and 2078

Properties of GCF 2074 and 2078

(i) The GCF of 2074 and 2078 is associative

GCF of 2074 and 2078 = GCF of 2078 and 2074

Related Greatest Common Factor of 2074

Related Greatest Common Factor of 2078

Frequently Asked Questions on GCF of 2074 and 2078

1. What is the GCF of 2074 and 2078?

Answer: GCF of 2074 and 2078 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 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.

4. How to Find the GCF of 2074 and 2078?

Answer:

Greatest Common Factor of 2074 and 2078 = 2

Step 1: Find the prime factorization of 2074

2074 = 2 x 17 x 61

Step 2: Find the prime factorization of 2078

2078 = 2 x 1039

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 2078 is 2