Greatest Common Factor of 8767 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 8767, 8772 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8767 and 8772 is 1.

GCF(8767,8772) = 1

GCF of 8767 and 8772

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

GCF of:
and

Greatest Common Factor of 8767 and 8772

GCF of 8767 and 8772 is 1

Prime Factorization of 8767


11 8767
797 797
1

Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:

8767 = 111×7971

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 8767 and 8772 is 1

Greatest Common Factor of 8767 and 8772 by matching factors method

Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1,11,797,8767

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 8767 and 8772. The biggest common factor number is the GCF number.
So the greatest common factor 8767 and 8772 is 1.

Also check out the Least Common Multiple of 8767 and 8772

Properties of GCF 8767 and 8772

(i) The GCF of 8767 and 8772 is associative

GCF of 8767 and 8772 = GCF of 8772 and 8767

Related Greatest Common Factor of 8767

Related Greatest Common Factor of 8772

Frequently Asked Questions on GCF of 8767 and 8772

1. What is the GCF of 8767 and 8772?

Answer: GCF of 8767 and 8772 is 1.

2. What are the Factors of 8767?

Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.

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 8767 and 8772?

Answer:

Greatest Common Factor of 8767 and 8772 = 1

Step 1: Find the prime factorization of 8767

8767 = 11 x 797

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 = = 1

Step 4: Therefore, the greatest common factor of 8767 and 8772 is 1