Greatest Common Factor of 8772 and 8776

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 8772, 8776 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8772 and 8776 is 4.

GCF(8772,8776) = 4

GCF of 8772 and 8776

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

GCF of:
and

Greatest Common Factor of 8772 and 8776

GCF of 8772 and 8776 is 4

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

Prime Factorization of 8776


2 8776
2 4388
2 2194
1097 1097
1

Prime factors of 8776 are 2,1097. Prime factorization of 8776 in exponential form is:

8776 = 23×10971

∴ So by taking common prime factors GCF of 8772 and 8776 is 4

Greatest Common Factor of 8772 and 8776 by matching factors method

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

Factors of 8776

List of positive integer factors of 8776 that divides 8776 without a remainder.

1,2,4,8,1097,2194,4388,8776

Greatest Common Factor

We found the factors and prime factorization of 8772 and 8776. The biggest common factor number is the GCF number.
So the greatest common factor 8772 and 8776 is 4.

Also check out the Least Common Multiple of 8772 and 8776

Properties of GCF 8772 and 8776

(i) The GCF of 8772 and 8776 is associative

GCF of 8772 and 8776 = GCF of 8776 and 8772

Related Greatest Common Factor of 8772

Related Greatest Common Factor of 8776

Frequently Asked Questions on GCF of 8772 and 8776

1. What is the GCF of 8772 and 8776?

Answer: GCF of 8772 and 8776 is 4.

2. 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.

3. What are the Factors of 8776?

Answer: Factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776. There are 8 integers that are factors of 8776. The greatest factor of 8776 is 8776.

4. How to Find the GCF of 8772 and 8776?

Answer:

Greatest Common Factor of 8772 and 8776 = 4

Step 1: Find the prime factorization of 8772

8772 = 2 x 2 x 3 x 17 x 43

Step 2: Find the prime factorization of 8776

8776 = 2 x 2 x 2 x 1097

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 8772 and 8776 is 4