Greatest Common Factor of 2737 and 2743

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 2737, 2743 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2737 and 2743 is 1.

GCF(2737,2743) = 1

GCF of 2737 and 2743

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

GCF of:
and

Greatest Common Factor of 2737 and 2743

GCF of 2737 and 2743 is 1

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

Prime Factorization of 2743


13 2743
211 211
1

Prime factors of 2743 are 13,211. Prime factorization of 2743 in exponential form is:

2743 = 131×2111

∴ So by taking common prime factors GCF of 2737 and 2743 is 1

Greatest Common Factor of 2737 and 2743 by matching factors method

Factors of 2737

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

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

Factors of 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1,13,211,2743

Greatest Common Factor

We found the factors and prime factorization of 2737 and 2743. The biggest common factor number is the GCF number.
So the greatest common factor 2737 and 2743 is 1.

Also check out the Least Common Multiple of 2737 and 2743

Properties of GCF 2737 and 2743

(i) The GCF of 2737 and 2743 is associative

GCF of 2737 and 2743 = GCF of 2743 and 2737

Related Greatest Common Factor of 2737

Related Greatest Common Factor of 2743

Frequently Asked Questions on GCF of 2737 and 2743

1. What is the GCF of 2737 and 2743?

Answer: GCF of 2737 and 2743 is 1.

2. 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.

3. What are the Factors of 2743?

Answer: Factors of 2743 are 1, 13, 211, 2743. There are 4 integers that are factors of 2743. The greatest factor of 2743 is 2743.

4. How to Find the GCF of 2737 and 2743?

Answer:

Greatest Common Factor of 2737 and 2743 = 1

Step 1: Find the prime factorization of 2737

2737 = 7 x 17 x 23

Step 2: Find the prime factorization of 2743

2743 = 13 x 211

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 2737 and 2743 is 1