Greatest Common Factor of 2760 and 2768

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, 2768 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2760 and 2768 is 8.

GCF(2760,2768) = 8

GCF of 2760 and 2768

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

GCF of:
and

Greatest Common Factor of 2760 and 2768

GCF of 2760 and 2768 is 8

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 2768


2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 2768 are 2,173. Prime factorization of 2768 in exponential form is:

2768 = 24×1731

∴ So by taking common prime factors GCF of 2760 and 2768 is 8

Greatest Common Factor of 2760 and 2768 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 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1,2,4,8,16,173,346,692,1384,2768

Greatest Common Factor

We found the factors and prime factorization of 2760 and 2768. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2768 is 8.

Also check out the Least Common Multiple of 2760 and 2768

Properties of GCF 2760 and 2768

(i) The GCF of 2760 and 2768 is associative

GCF of 2760 and 2768 = GCF of 2768 and 2760

Related Greatest Common Factor of 2760

Related Greatest Common Factor of 2768

Frequently Asked Questions on GCF of 2760 and 2768

1. What is the GCF of 2760 and 2768?

Answer: GCF of 2760 and 2768 is 8.

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 2768?

Answer: Factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768. There are 10 integers that are factors of 2768. The greatest factor of 2768 is 2768.

4. How to Find the GCF of 2760 and 2768?

Answer:

Greatest Common Factor of 2760 and 2768 = 8

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 2768

2768 = 2 x 2 x 2 x 2 x 173

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2760 and 2768 is 8