Greatest Common Factor of 2732 and 2737

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, 2737 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2732 and 2737 is 1.

GCF(2732,2737) = 1

GCF of 2732 and 2737

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

GCF of:
and

Greatest Common Factor of 2732 and 2737

GCF of 2732 and 2737 is 1

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 2737


7 2737
17 391
23 23
1

Prime factors of 2737 are 7,17,23. Prime factorization of 2737 in exponential form is:

2737 = 71×171×231

∴ So by taking common prime factors GCF of 2732 and 2737 is 1

Greatest Common Factor of 2732 and 2737 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 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1,7,17,23,119,161,391,2737

Greatest Common Factor

We found the factors and prime factorization of 2732 and 2737. The biggest common factor number is the GCF number.
So the greatest common factor 2732 and 2737 is 1.

Also check out the Least Common Multiple of 2732 and 2737

Properties of GCF 2732 and 2737

(i) The GCF of 2732 and 2737 is associative

GCF of 2732 and 2737 = GCF of 2737 and 2732

Related Greatest Common Factor of 2732

Related Greatest Common Factor of 2737

Frequently Asked Questions on GCF of 2732 and 2737

1. What is the GCF of 2732 and 2737?

Answer: GCF of 2732 and 2737 is 1.

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 2737?

Answer: Factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737. There are 8 integers that are factors of 2737. The greatest factor of 2737 is 2737.

4. How to Find the GCF of 2732 and 2737?

Answer:

Greatest Common Factor of 2732 and 2737 = 1

Step 1: Find the prime factorization of 2732

2732 = 2 x 2 x 683

Step 2: Find the prime factorization of 2737

2737 = 7 x 17 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2732 and 2737 is 1