Greatest Common Factor of 2722 and 2728

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 2722, 2728 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2722 and 2728 is 2.

GCF(2722,2728) = 2

GCF of 2722 and 2728

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

GCF of:
and

Greatest Common Factor of 2722 and 2728

GCF of 2722 and 2728 is 2

Prime Factorization of 2722


2 2722
1361 1361
1

Prime factors of 2722 are 2,1361. Prime factorization of 2722 in exponential form is:

2722 = 21×13611

Prime Factorization of 2728


2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 2728 are 2,11,31. Prime factorization of 2728 in exponential form is:

2728 = 23×111×311

∴ So by taking common prime factors GCF of 2722 and 2728 is 2

Greatest Common Factor of 2722 and 2728 by matching factors method

Factors of 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1,2,1361,2722

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors and prime factorization of 2722 and 2728. The biggest common factor number is the GCF number.
So the greatest common factor 2722 and 2728 is 2.

Also check out the Least Common Multiple of 2722 and 2728

Properties of GCF 2722 and 2728

(i) The GCF of 2722 and 2728 is associative

GCF of 2722 and 2728 = GCF of 2728 and 2722

Related Greatest Common Factor of 2722

Related Greatest Common Factor of 2728

Frequently Asked Questions on GCF of 2722 and 2728

1. What is the GCF of 2722 and 2728?

Answer: GCF of 2722 and 2728 is 2.

2. What are the Factors of 2722?

Answer: Factors of 2722 are 1, 2, 1361, 2722. There are 4 integers that are factors of 2722. The greatest factor of 2722 is 2722.

3. What are the Factors of 2728?

Answer: Factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728. There are 16 integers that are factors of 2728. The greatest factor of 2728 is 2728.

4. How to Find the GCF of 2722 and 2728?

Answer:

Greatest Common Factor of 2722 and 2728 = 2

Step 1: Find the prime factorization of 2722

2722 = 2 x 1361

Step 2: Find the prime factorization of 2728

2728 = 2 x 2 x 2 x 11 x 31

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 2722 and 2728 is 2