Greatest Common Factor of 2716 and 2722

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 2716, 2722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2716 and 2722 is 2.

GCF(2716,2722) = 2

GCF of 2716 and 2722

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

GCF of:
and

Greatest Common Factor of 2716 and 2722

GCF of 2716 and 2722 is 2

Prime Factorization of 2716


2 2716
2 1358
7 679
97 97
1

Prime factors of 2716 are 2,7,97. Prime factorization of 2716 in exponential form is:

2716 = 22×71×971

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

∴ So by taking common prime factors GCF of 2716 and 2722 is 2

Greatest Common Factor of 2716 and 2722 by matching factors method

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1,2,4,7,14,28,97,194,388,679,1358,2716

Factors of 2722

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

1,2,1361,2722

Greatest Common Factor

We found the factors and prime factorization of 2716 and 2722. The biggest common factor number is the GCF number.
So the greatest common factor 2716 and 2722 is 2.

Also check out the Least Common Multiple of 2716 and 2722

Properties of GCF 2716 and 2722

(i) The GCF of 2716 and 2722 is associative

GCF of 2716 and 2722 = GCF of 2722 and 2716

Related Greatest Common Factor of 2716

Related Greatest Common Factor of 2722

Frequently Asked Questions on GCF of 2716 and 2722

1. What is the GCF of 2716 and 2722?

Answer: GCF of 2716 and 2722 is 2.

2. What are the Factors of 2716?

Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.

3. 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.

4. How to Find the GCF of 2716 and 2722?

Answer:

Greatest Common Factor of 2716 and 2722 = 2

Step 1: Find the prime factorization of 2716

2716 = 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 2722

2722 = 2 x 1361

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 2716 and 2722 is 2