Greatest Common Factor of 2732 and 2738

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 2732, 2738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2732 and 2738 is 2.

GCF(2732,2738) = 2

GCF of 2732 and 2738

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

GCF of:
and

Greatest Common Factor of 2732 and 2738

GCF of 2732 and 2738 is 2

Prime Factorization of 2732


2 2732
2 1366
683 683
1

Prime factors of 2732 are 2,683. Prime factorization of 2732 in exponential form is:

2732 = 22×6831

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

∴ So by taking common prime factors GCF of 2732 and 2738 is 2

Greatest Common Factor of 2732 and 2738 by matching factors method

Factors of 2732

List of positive integer factors of 2732 that divides 2732 without a remainder.

1,2,4,683,1366,2732

Factors of 2738

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

1,2,37,74,1369,2738

Greatest Common Factor

We found the factors and prime factorization of 2732 and 2738. The biggest common factor number is the GCF number.
So the greatest common factor 2732 and 2738 is 2.

Also check out the Least Common Multiple of 2732 and 2738

Properties of GCF 2732 and 2738

(i) The GCF of 2732 and 2738 is associative

GCF of 2732 and 2738 = GCF of 2738 and 2732

Related Greatest Common Factor of 2732

Related Greatest Common Factor of 2738

Frequently Asked Questions on GCF of 2732 and 2738

1. What is the GCF of 2732 and 2738?

Answer: GCF of 2732 and 2738 is 2.

2. What are the Factors of 2732?

Answer: Factors of 2732 are 1, 2, 4, 683, 1366, 2732. There are 6 integers that are factors of 2732. The greatest factor of 2732 is 2732.

3. 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.

4. How to Find the GCF of 2732 and 2738?

Answer:

Greatest Common Factor of 2732 and 2738 = 2

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

Step 2: Find the prime factorization of 2738

2738 = 2 x 37 x 37

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 2732 and 2738 is 2