Greatest Common Factor of 2732 and 2740

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, 2740 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2732 and 2740 is 4.

GCF(2732,2740) = 4

GCF of 2732 and 2740

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

GCF of:
and

Greatest Common Factor of 2732 and 2740

GCF of 2732 and 2740 is 4

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 2740


2 2740
2 1370
5 685
137 137
1

Prime factors of 2740 are 2,5,137. Prime factorization of 2740 in exponential form is:

2740 = 22×51×1371

∴ So by taking common prime factors GCF of 2732 and 2740 is 4

Greatest Common Factor of 2732 and 2740 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 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Greatest Common Factor

We found the factors and prime factorization of 2732 and 2740. The biggest common factor number is the GCF number.
So the greatest common factor 2732 and 2740 is 4.

Also check out the Least Common Multiple of 2732 and 2740

Properties of GCF 2732 and 2740

(i) The GCF of 2732 and 2740 is associative

GCF of 2732 and 2740 = GCF of 2740 and 2732

Related Greatest Common Factor of 2732

Related Greatest Common Factor of 2740

Frequently Asked Questions on GCF of 2732 and 2740

1. What is the GCF of 2732 and 2740?

Answer: GCF of 2732 and 2740 is 4.

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 2740?

Answer: Factors of 2740 are 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740. There are 12 integers that are factors of 2740. The greatest factor of 2740 is 2740.

4. How to Find the GCF of 2732 and 2740?

Answer:

Greatest Common Factor of 2732 and 2740 = 4

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

Step 2: Find the prime factorization of 2740

2740 = 2 x 2 x 5 x 137

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2732 and 2740 is 4