Greatest Common Factor of 8764 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 8764, 8772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8764 and 8772 is 4.

GCF(8764,8772) = 4

GCF of 8764 and 8772

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

GCF of:
and

Greatest Common Factor of 8764 and 8772

GCF of 8764 and 8772 is 4

Prime Factorization of 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2,7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

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 8764 and 8772 is 4

Greatest Common Factor of 8764 and 8772 by matching factors method

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

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 8764 and 8772. The biggest common factor number is the GCF number.
So the greatest common factor 8764 and 8772 is 4.

Also check out the Least Common Multiple of 8764 and 8772

Properties of GCF 8764 and 8772

(i) The GCF of 8764 and 8772 is associative

GCF of 8764 and 8772 = GCF of 8772 and 8764

Related Greatest Common Factor of 8764

Related Greatest Common Factor of 8772

Frequently Asked Questions on GCF of 8764 and 8772

1. What is the GCF of 8764 and 8772?

Answer: GCF of 8764 and 8772 is 4.

2. What are the Factors of 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

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 8764 and 8772?

Answer:

Greatest Common Factor of 8764 and 8772 = 4

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

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 8764 and 8772 is 4