Greatest Common Factor of 2072 and 2076

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 2072, 2076 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2072 and 2076 is 4.

GCF(2072,2076) = 4

GCF of 2072 and 2076

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

GCF of:
and

Greatest Common Factor of 2072 and 2076

GCF of 2072 and 2076 is 4

Prime Factorization of 2072


2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 2072 are 2,7,37. Prime factorization of 2072 in exponential form is:

2072 = 23×71×371

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

∴ So by taking common prime factors GCF of 2072 and 2076 is 4

Greatest Common Factor of 2072 and 2076 by matching factors method

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072

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

Greatest Common Factor

We found the factors and prime factorization of 2072 and 2076. The biggest common factor number is the GCF number.
So the greatest common factor 2072 and 2076 is 4.

Also check out the Least Common Multiple of 2072 and 2076

Properties of GCF 2072 and 2076

(i) The GCF of 2072 and 2076 is associative

GCF of 2072 and 2076 = GCF of 2076 and 2072

Related Greatest Common Factor of 2072

Related Greatest Common Factor of 2076

Frequently Asked Questions on GCF of 2072 and 2076

1. What is the GCF of 2072 and 2076?

Answer: GCF of 2072 and 2076 is 4.

2. What are the Factors of 2072?

Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.

3. 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.

4. How to Find the GCF of 2072 and 2076?

Answer:

Greatest Common Factor of 2072 and 2076 = 4

Step 1: Find the prime factorization of 2072

2072 = 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

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 2072 and 2076 is 4