Greatest Common Factor of 2768 and 2772

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 2768, 2772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2768 and 2772 is 4.

GCF(2768,2772) = 4

GCF of 2768 and 2772

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

GCF of:
and

Greatest Common Factor of 2768 and 2772

GCF of 2768 and 2772 is 4

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

Prime Factorization of 2772


2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 2772 are 2,3,7,11. Prime factorization of 2772 in exponential form is:

2772 = 22×32×71×111

∴ So by taking common prime factors GCF of 2768 and 2772 is 4

Greatest Common Factor of 2768 and 2772 by matching factors method

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

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors and prime factorization of 2768 and 2772. The biggest common factor number is the GCF number.
So the greatest common factor 2768 and 2772 is 4.

Also check out the Least Common Multiple of 2768 and 2772

Properties of GCF 2768 and 2772

(i) The GCF of 2768 and 2772 is associative

GCF of 2768 and 2772 = GCF of 2772 and 2768

Related Greatest Common Factor of 2768

Related Greatest Common Factor of 2772

Frequently Asked Questions on GCF of 2768 and 2772

1. What is the GCF of 2768 and 2772?

Answer: GCF of 2768 and 2772 is 4.

2. 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.

3. What are the Factors of 2772?

Answer: Factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. There are 36 integers that are factors of 2772. The greatest factor of 2772 is 2772.

4. How to Find the GCF of 2768 and 2772?

Answer:

Greatest Common Factor of 2768 and 2772 = 4

Step 1: Find the prime factorization of 2768

2768 = 2 x 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 2772

2772 = 2 x 2 x 3 x 3 x 7 x 11

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2768 and 2772 is 4