Greatest Common Factor of 2760 and 2766

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 2760, 2766 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2760 and 2766 is 6.

GCF(2760,2766) = 6

GCF of 2760 and 2766

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

GCF of:
and

Greatest Common Factor of 2760 and 2766

GCF of 2760 and 2766 is 6

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

Prime Factorization of 2766


2 2766
3 1383
461 461
1

Prime factors of 2766 are 2,3,461. Prime factorization of 2766 in exponential form is:

2766 = 21×31×4611

∴ So by taking common prime factors GCF of 2760 and 2766 is 6

Greatest Common Factor of 2760 and 2766 by matching factors method

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

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors and prime factorization of 2760 and 2766. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2766 is 6.

Also check out the Least Common Multiple of 2760 and 2766

Properties of GCF 2760 and 2766

(i) The GCF of 2760 and 2766 is associative

GCF of 2760 and 2766 = GCF of 2766 and 2760

Related Greatest Common Factor of 2760

Related Greatest Common Factor of 2766

Frequently Asked Questions on GCF of 2760 and 2766

1. What is the GCF of 2760 and 2766?

Answer: GCF of 2760 and 2766 is 6.

2. 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.

3. What are the Factors of 2766?

Answer: Factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766. There are 8 integers that are factors of 2766. The greatest factor of 2766 is 2766.

4. How to Find the GCF of 2760 and 2766?

Answer:

Greatest Common Factor of 2760 and 2766 = 6

Step 1: Find the prime factorization of 2760

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

Step 2: Find the prime factorization of 2766

2766 = 2 x 3 x 461

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 2760 and 2766 is 6