Greatest Common Factor of 8763 and 8764

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 8763, 8764 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8763 and 8764 is 1.

GCF(8763,8764) = 1

GCF of 8763 and 8764

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

GCF of:
and

Greatest Common Factor of 8763 and 8764

GCF of 8763 and 8764 is 1

Prime Factorization of 8763


3 8763
23 2921
127 127
1

Prime factors of 8763 are 3,23,127. Prime factorization of 8763 in exponential form is:

8763 = 31×231×1271

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

∴ So by taking common prime factors GCF of 8763 and 8764 is 1

Greatest Common Factor of 8763 and 8764 by matching factors method

Factors of 8763

List of positive integer factors of 8763 that divides 8763 without a remainder.

1,3,23,69,127,381,2921,8763

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

Greatest Common Factor

We found the factors and prime factorization of 8763 and 8764. The biggest common factor number is the GCF number.
So the greatest common factor 8763 and 8764 is 1.

Also check out the Least Common Multiple of 8763 and 8764

Properties of GCF 8763 and 8764

(i) The GCF of 8763 and 8764 is associative

GCF of 8763 and 8764 = GCF of 8764 and 8763

Related Greatest Common Factor of 8763

Related Greatest Common Factor of 8764

Frequently Asked Questions on GCF of 8763 and 8764

1. What is the GCF of 8763 and 8764?

Answer: GCF of 8763 and 8764 is 1.

2. What are the Factors of 8763?

Answer: Factors of 8763 are 1, 3, 23, 69, 127, 381, 2921, 8763. There are 8 integers that are factors of 8763. The greatest factor of 8763 is 8763.

3. 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.

4. How to Find the GCF of 8763 and 8764?

Answer:

Greatest Common Factor of 8763 and 8764 = 1

Step 1: Find the prime factorization of 8763

8763 = 3 x 23 x 127

Step 2: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

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 8763 and 8764 is 1