Greatest Common Factor of 2741 and 2745

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 2741, 2745 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2741 and 2745 is 1.

GCF(2741,2745) = 1

GCF of 2741 and 2745

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

GCF of:
and

Greatest Common Factor of 2741 and 2745

GCF of 2741 and 2745 is 1

Prime Factorization of 2741


2741 2741
1

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 27411

Prime Factorization of 2745


3 2745
3 915
5 305
61 61
1

Prime factors of 2745 are 3.Prime factorization of 2745 in exponential form is:

2745 = 32×51×611

∴ So by taking common prime factors GCF of 2741 and 2745 is 1

Greatest Common Factor of 2741 and 2745 by matching factors method

Factors of 2741

List of positive integer factors of 2741 that divides 2741 without a remainder.

1,2741

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Greatest Common Factor

We found the factors and prime factorization of 2741 and 2745. The biggest common factor number is the GCF number.
So the greatest common factor 2741 and 2745 is 1.

Also check out the Least Common Multiple of 2741 and 2745

Properties of GCF 2741 and 2745

(i) The GCF of 2741 and 2745 is associative

GCF of 2741 and 2745 = GCF of 2745 and 2741

Related Greatest Common Factor of 2741

Related Greatest Common Factor of 2745

Frequently Asked Questions on GCF of 2741 and 2745

1. What is the GCF of 2741 and 2745?

Answer: GCF of 2741 and 2745 is 1.

2. What are the Factors of 2741?

Answer: Factors of 2741 are 1, 2741. There are 2 integers that are factors of 2741. The greatest factor of 2741 is 2741.

3. What are the Factors of 2745?

Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.

4. How to Find the GCF of 2741 and 2745?

Answer:

Greatest Common Factor of 2741 and 2745 = 1

Step 1: Find the prime factorization of 2741

2741 = 2741

Step 2: Find the prime factorization of 2745

2745 = 3 x 3 x 5 x 61

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 2741 and 2745 is 1