Greatest Common Factor of 2740 and 2744

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 2740, 2744 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2740 and 2744 is 4.

GCF(2740,2744) = 4

GCF of 2740 and 2744

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

GCF of:
and

Greatest Common Factor of 2740 and 2744

GCF of 2740 and 2744 is 4

Prime Factorization of 2740


2 2740
2 1370
5 685
137 137
1

Prime factors of 2740 are 2,5,137. Prime factorization of 2740 in exponential form is:

2740 = 22×51×1371

Prime Factorization of 2744


2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 2744 are 2,7. Prime factorization of 2744 in exponential form is:

2744 = 23×73

∴ So by taking common prime factors GCF of 2740 and 2744 is 4

Greatest Common Factor of 2740 and 2744 by matching factors method

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Greatest Common Factor

We found the factors and prime factorization of 2740 and 2744. The biggest common factor number is the GCF number.
So the greatest common factor 2740 and 2744 is 4.

Also check out the Least Common Multiple of 2740 and 2744

Properties of GCF 2740 and 2744

(i) The GCF of 2740 and 2744 is associative

GCF of 2740 and 2744 = GCF of 2744 and 2740

Related Greatest Common Factor of 2740

Related Greatest Common Factor of 2744

Frequently Asked Questions on GCF of 2740 and 2744

1. What is the GCF of 2740 and 2744?

Answer: GCF of 2740 and 2744 is 4.

2. What are the Factors of 2740?

Answer: Factors of 2740 are 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740. There are 12 integers that are factors of 2740. The greatest factor of 2740 is 2740.

3. What are the Factors of 2744?

Answer: Factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744. There are 16 integers that are factors of 2744. The greatest factor of 2744 is 2744.

4. How to Find the GCF of 2740 and 2744?

Answer:

Greatest Common Factor of 2740 and 2744 = 4

Step 1: Find the prime factorization of 2740

2740 = 2 x 2 x 5 x 137

Step 2: Find the prime factorization of 2744

2744 = 2 x 2 x 2 x 7 x 7 x 7

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 2740 and 2744 is 4