Greatest Common Factor of 2754 and 2760

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 2754, 2760 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2754 and 2760 is 6.

GCF(2754,2760) = 6

GCF of 2754 and 2760

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

GCF of:
and

Greatest Common Factor of 2754 and 2760

GCF of 2754 and 2760 is 6

Prime Factorization of 2754


2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 2754 are 2,3,17. Prime factorization of 2754 in exponential form is:

2754 = 21×34×171

Prime Factorization of 2760


2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 2760 are 2,3,5,23. Prime factorization of 2760 in exponential form is:

2760 = 23×31×51×231

∴ So by taking common prime factors GCF of 2754 and 2760 is 6

Greatest Common Factor of 2754 and 2760 by matching factors method

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Factors of 2760

List of positive integer factors of 2760 that divides 2760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760

Greatest Common Factor

We found the factors and prime factorization of 2754 and 2760. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2760 is 6.

Also check out the Least Common Multiple of 2754 and 2760

Properties of GCF 2754 and 2760

(i) The GCF of 2754 and 2760 is associative

GCF of 2754 and 2760 = GCF of 2760 and 2754

Related Greatest Common Factor of 2754

Related Greatest Common Factor of 2760

Frequently Asked Questions on GCF of 2754 and 2760

1. What is the GCF of 2754 and 2760?

Answer: GCF of 2754 and 2760 is 6.

2. What are the Factors of 2754?

Answer: Factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754. There are 20 integers that are factors of 2754. The greatest factor of 2754 is 2754.

3. What are the Factors of 2760?

Answer: Factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760. There are 32 integers that are factors of 2760. The greatest factor of 2760 is 2760.

4. How to Find the GCF of 2754 and 2760?

Answer:

Greatest Common Factor of 2754 and 2760 = 6

Step 1: Find the prime factorization of 2754

2754 = 2 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 2760

2760 = 2 x 2 x 2 x 3 x 5 x 23

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 2754 and 2760 is 6