Greatest Common Factor of 2738 and 2746

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 2738, 2746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2738 and 2746 is 2.

GCF(2738,2746) = 2

GCF of 2738 and 2746

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

GCF of:
and

Greatest Common Factor of 2738 and 2746

GCF of 2738 and 2746 is 2

Prime Factorization of 2738


2 2738
37 1369
37 37
1

Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:

2738 = 21×372

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

∴ So by taking common prime factors GCF of 2738 and 2746 is 2

Greatest Common Factor of 2738 and 2746 by matching factors method

Factors of 2738

List of positive integer factors of 2738 that divides 2738 without a remainder.

1,2,37,74,1369,2738

Factors of 2746

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

1,2,1373,2746

Greatest Common Factor

We found the factors and prime factorization of 2738 and 2746. The biggest common factor number is the GCF number.
So the greatest common factor 2738 and 2746 is 2.

Also check out the Least Common Multiple of 2738 and 2746

Properties of GCF 2738 and 2746

(i) The GCF of 2738 and 2746 is associative

GCF of 2738 and 2746 = GCF of 2746 and 2738

Related Greatest Common Factor of 2738

Related Greatest Common Factor of 2746

Frequently Asked Questions on GCF of 2738 and 2746

1. What is the GCF of 2738 and 2746?

Answer: GCF of 2738 and 2746 is 2.

2. What are the Factors of 2738?

Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.

3. 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.

4. How to Find the GCF of 2738 and 2746?

Answer:

Greatest Common Factor of 2738 and 2746 = 2

Step 1: Find the prime factorization of 2738

2738 = 2 x 37 x 37

Step 2: Find the prime factorization of 2746

2746 = 2 x 1373

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 2738 and 2746 is 2