Greatest Common Factor of 2740 and 2745

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, 2745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2740 and 2745 is 5.

GCF(2740,2745) = 5

GCF of 2740 and 2745

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

GCF of:
and

Greatest Common Factor of 2740 and 2745

GCF of 2740 and 2745 is 5

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 2745


3 2745
3 915
5 305
61 61
1

Prime factors of 2745 are 3,5,61. Prime factorization of 2745 in exponential form is:

2745 = 32×51×611

∴ So by taking common prime factors GCF of 2740 and 2745 is 5

Greatest Common Factor of 2740 and 2745 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 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Greatest Common Factor

We found the factors and prime factorization of 2740 and 2745. The biggest common factor number is the GCF number.
So the greatest common factor 2740 and 2745 is 5.

Also check out the Least Common Multiple of 2740 and 2745

Properties of GCF 2740 and 2745

(i) The GCF of 2740 and 2745 is associative

GCF of 2740 and 2745 = GCF of 2745 and 2740

Related Greatest Common Factor of 2740

Related Greatest Common Factor of 2745

Frequently Asked Questions on GCF of 2740 and 2745

1. What is the GCF of 2740 and 2745?

Answer: GCF of 2740 and 2745 is 5.

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 2745?

Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.

4. How to Find the GCF of 2740 and 2745?

Answer:

Greatest Common Factor of 2740 and 2745 = 5

Step 1: Find the prime factorization of 2740

2740 = 2 x 2 x 5 x 137

Step 2: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 2740 and 2745 is 5