Greatest Common Factor of 8768 and 8772

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 8768, 8772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8768 and 8772 is 4.

GCF(8768,8772) = 4

GCF of 8768 and 8772

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

GCF of:
and

Greatest Common Factor of 8768 and 8772

GCF of 8768 and 8772 is 4

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

Prime Factorization of 8772


2 8772
2 4386
3 2193
17 731
43 43
1

Prime factors of 8772 are 2,3,17,43. Prime factorization of 8772 in exponential form is:

8772 = 22×31×171×431

∴ So by taking common prime factors GCF of 8768 and 8772 is 4

Greatest Common Factor of 8768 and 8772 by matching factors method

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors and prime factorization of 8768 and 8772. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8772 is 4.

Also check out the Least Common Multiple of 8768 and 8772

Properties of GCF 8768 and 8772

(i) The GCF of 8768 and 8772 is associative

GCF of 8768 and 8772 = GCF of 8772 and 8768

Related Greatest Common Factor of 8768

Related Greatest Common Factor of 8772

Frequently Asked Questions on GCF of 8768 and 8772

1. What is the GCF of 8768 and 8772?

Answer: GCF of 8768 and 8772 is 4.

2. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

3. What are the Factors of 8772?

Answer: Factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772. There are 24 integers that are factors of 8772. The greatest factor of 8772 is 8772.

4. How to Find the GCF of 8768 and 8772?

Answer:

Greatest Common Factor of 8768 and 8772 = 4

Step 1: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 8772

8772 = 2 x 2 x 3 x 17 x 43

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 8768 and 8772 is 4