Greatest Common Factor of 2745 and 2751

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 2745, 2751 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2745 and 2751 is 3.

GCF(2745,2751) = 3

GCF of 2745 and 2751

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

GCF of:
and

Greatest Common Factor of 2745 and 2751

GCF of 2745 and 2751 is 3

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

Prime Factorization of 2751


3 2751
7 917
131 131
1

Prime factors of 2751 are 3,7,131. Prime factorization of 2751 in exponential form is:

2751 = 31×71×1311

∴ So by taking common prime factors GCF of 2745 and 2751 is 3

Greatest Common Factor of 2745 and 2751 by matching factors method

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

Factors of 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1,3,7,21,131,393,917,2751

Greatest Common Factor

We found the factors and prime factorization of 2745 and 2751. The biggest common factor number is the GCF number.
So the greatest common factor 2745 and 2751 is 3.

Also check out the Least Common Multiple of 2745 and 2751

Properties of GCF 2745 and 2751

(i) The GCF of 2745 and 2751 is associative

GCF of 2745 and 2751 = GCF of 2751 and 2745

Related Greatest Common Factor of 2745

Related Greatest Common Factor of 2751

Frequently Asked Questions on GCF of 2745 and 2751

1. What is the GCF of 2745 and 2751?

Answer: GCF of 2745 and 2751 is 3.

2. 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.

3. What are the Factors of 2751?

Answer: Factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751. There are 8 integers that are factors of 2751. The greatest factor of 2751 is 2751.

4. How to Find the GCF of 2745 and 2751?

Answer:

Greatest Common Factor of 2745 and 2751 = 3

Step 1: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 2751

2751 = 3 x 7 x 131

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2745 and 2751 is 3