Greatest Common Factor of 2742 and 2748

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, 2748 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2742 and 2748 is 6.

GCF(2742,2748) = 6

GCF of 2742 and 2748

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

GCF of:
and

Greatest Common Factor of 2742 and 2748

GCF of 2742 and 2748 is 6

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 2748


2 2748
2 1374
3 687
229 229
1

Prime factors of 2748 are 2,3,229. Prime factorization of 2748 in exponential form is:

2748 = 22×31×2291

∴ So by taking common prime factors GCF of 2742 and 2748 is 6

Greatest Common Factor of 2742 and 2748 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 2748

List of positive integer factors of 2748 that divides 2748 without a remainder.

1,2,3,4,6,12,229,458,687,916,1374,2748

Greatest Common Factor

We found the factors and prime factorization of 2742 and 2748. The biggest common factor number is the GCF number.
So the greatest common factor 2742 and 2748 is 6.

Also check out the Least Common Multiple of 2742 and 2748

Properties of GCF 2742 and 2748

(i) The GCF of 2742 and 2748 is associative

GCF of 2742 and 2748 = GCF of 2748 and 2742

Related Greatest Common Factor of 2742

Related Greatest Common Factor of 2748

Frequently Asked Questions on GCF of 2742 and 2748

1. What is the GCF of 2742 and 2748?

Answer: GCF of 2742 and 2748 is 6.

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 2748?

Answer: Factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748. There are 12 integers that are factors of 2748. The greatest factor of 2748 is 2748.

4. How to Find the GCF of 2742 and 2748?

Answer:

Greatest Common Factor of 2742 and 2748 = 6

Step 1: Find the prime factorization of 2742

2742 = 2 x 3 x 457

Step 2: Find the prime factorization of 2748

2748 = 2 x 2 x 3 x 229

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2742 and 2748 is 6