Greatest Common Factor of 2746 and 2754

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 2746, 2754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2746 and 2754 is 2.

GCF(2746,2754) = 2

GCF of 2746 and 2754

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

GCF of:
and

Greatest Common Factor of 2746 and 2754

GCF of 2746 and 2754 is 2

Prime Factorization of 2746


2 2746
1373 1373
1

Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:

2746 = 21×13731

Prime Factorization of 2754


2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 2754 are 2,3,17. Prime factorization of 2754 in exponential form is:

2754 = 21×34×171

∴ So by taking common prime factors GCF of 2746 and 2754 is 2

Greatest Common Factor of 2746 and 2754 by matching factors method

Factors of 2746

List of positive integer factors of 2746 that divides 2746 without a remainder.

1,2,1373,2746

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Greatest Common Factor

We found the factors and prime factorization of 2746 and 2754. The biggest common factor number is the GCF number.
So the greatest common factor 2746 and 2754 is 2.

Also check out the Least Common Multiple of 2746 and 2754

Properties of GCF 2746 and 2754

(i) The GCF of 2746 and 2754 is associative

GCF of 2746 and 2754 = GCF of 2754 and 2746

Related Greatest Common Factor of 2746

Related Greatest Common Factor of 2754

Frequently Asked Questions on GCF of 2746 and 2754

1. What is the GCF of 2746 and 2754?

Answer: GCF of 2746 and 2754 is 2.

2. What are the Factors of 2746?

Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.

3. What are the Factors of 2754?

Answer: Factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754. There are 20 integers that are factors of 2754. The greatest factor of 2754 is 2754.

4. How to Find the GCF of 2746 and 2754?

Answer:

Greatest Common Factor of 2746 and 2754 = 2

Step 1: Find the prime factorization of 2746

2746 = 2 x 1373

Step 2: Find the prime factorization of 2754

2754 = 2 x 3 x 3 x 3 x 3 x 17

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 2746 and 2754 is 2