Greatest Common Factor of 2738 and 2742

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, 2742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2738 and 2742 is 2.

GCF(2738,2742) = 2

GCF of 2738 and 2742

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

GCF of:
and

Greatest Common Factor of 2738 and 2742

GCF of 2738 and 2742 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 2742


2 2742
3 1371
457 457
1

Prime factors of 2742 are 2,3,457. Prime factorization of 2742 in exponential form is:

2742 = 21×31×4571

∴ So by taking common prime factors GCF of 2738 and 2742 is 2

Greatest Common Factor of 2738 and 2742 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 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1,2,3,6,457,914,1371,2742

Greatest Common Factor

We found the factors and prime factorization of 2738 and 2742. The biggest common factor number is the GCF number.
So the greatest common factor 2738 and 2742 is 2.

Also check out the Least Common Multiple of 2738 and 2742

Properties of GCF 2738 and 2742

(i) The GCF of 2738 and 2742 is associative

GCF of 2738 and 2742 = GCF of 2742 and 2738

Related Greatest Common Factor of 2738

Related Greatest Common Factor of 2742

Frequently Asked Questions on GCF of 2738 and 2742

1. What is the GCF of 2738 and 2742?

Answer: GCF of 2738 and 2742 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 2742?

Answer: Factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742. There are 8 integers that are factors of 2742. The greatest factor of 2742 is 2742.

4. How to Find the GCF of 2738 and 2742?

Answer:

Greatest Common Factor of 2738 and 2742 = 2

Step 1: Find the prime factorization of 2738

2738 = 2 x 37 x 37

Step 2: Find the prime factorization of 2742

2742 = 2 x 3 x 457

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 2742 is 2