Greatest Common Factor of 8772 and 8777

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, 8777 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8772 and 8777 is 1.

GCF(8772,8777) = 1

GCF of 8772 and 8777

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

GCF of:
and

Greatest Common Factor of 8772 and 8777

GCF of 8772 and 8777 is 1

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 8777


67 8777
131 131
1

Prime factors of 8777 are 67,131. Prime factorization of 8777 in exponential form is:

8777 = 671×1311

∴ So by taking common prime factors GCF of 8772 and 8777 is 1

Greatest Common Factor of 8772 and 8777 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 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1,67,131,8777

Greatest Common Factor

We found the factors and prime factorization of 8772 and 8777. The biggest common factor number is the GCF number.
So the greatest common factor 8772 and 8777 is 1.

Also check out the Least Common Multiple of 8772 and 8777

Properties of GCF 8772 and 8777

(i) The GCF of 8772 and 8777 is associative

GCF of 8772 and 8777 = GCF of 8777 and 8772

Related Greatest Common Factor of 8772

Related Greatest Common Factor of 8777

Frequently Asked Questions on GCF of 8772 and 8777

1. What is the GCF of 8772 and 8777?

Answer: GCF of 8772 and 8777 is 1.

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 8777?

Answer: Factors of 8777 are 1, 67, 131, 8777. There are 4 integers that are factors of 8777. The greatest factor of 8777 is 8777.

4. How to Find the GCF of 8772 and 8777?

Answer:

Greatest Common Factor of 8772 and 8777 = 1

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 8777

8777 = 67 x 131

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8772 and 8777 is 1