Greatest Common Factor of 2742 and 2750

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 2742, 2750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2742 and 2750 is 2.

GCF(2742,2750) = 2

GCF of 2742 and 2750

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

GCF of:
and

Greatest Common Factor of 2742 and 2750

GCF of 2742 and 2750 is 2

Prime Factorization of 2742


2 2742
3 1371
457 457
1

Prime factors of 2742 are 2,3,457. Prime factorization of 2742 in exponential form is:

2742 = 21×31×4571

Prime Factorization of 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2,5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

∴ So by taking common prime factors GCF of 2742 and 2750 is 2

Greatest Common Factor of 2742 and 2750 by matching factors method

Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1,2,3,6,457,914,1371,2742

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750

Greatest Common Factor

We found the factors and prime factorization of 2742 and 2750. The biggest common factor number is the GCF number.
So the greatest common factor 2742 and 2750 is 2.

Also check out the Least Common Multiple of 2742 and 2750

Properties of GCF 2742 and 2750

(i) The GCF of 2742 and 2750 is associative

GCF of 2742 and 2750 = GCF of 2750 and 2742

Related Greatest Common Factor of 2742

Related Greatest Common Factor of 2750

Frequently Asked Questions on GCF of 2742 and 2750

1. What is the GCF of 2742 and 2750?

Answer: GCF of 2742 and 2750 is 2.

2. What are the Factors of 2742?

Answer: Factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742. There are 8 integers that are factors of 2742. The greatest factor of 2742 is 2742.

3. What are the Factors of 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

4. How to Find the GCF of 2742 and 2750?

Answer:

Greatest Common Factor of 2742 and 2750 = 2

Step 1: Find the prime factorization of 2742

2742 = 2 x 3 x 457

Step 2: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

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 2742 and 2750 is 2