Greatest Common Factor of 8782 and 8789

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 8782, 8789 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8782 and 8789 is 1.

GCF(8782,8789) = 1

GCF of 8782 and 8789

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

GCF of:
and

Greatest Common Factor of 8782 and 8789

GCF of 8782 and 8789 is 1

Prime Factorization of 8782


2 8782
4391 4391
1

Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:

8782 = 21×43911

Prime Factorization of 8789


11 8789
17 799
47 47
1

Prime factors of 8789 are 11,17,47. Prime factorization of 8789 in exponential form is:

8789 = 111×171×471

∴ So by taking common prime factors GCF of 8782 and 8789 is 1

Greatest Common Factor of 8782 and 8789 by matching factors method

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1,2,4391,8782

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors and prime factorization of 8782 and 8789. The biggest common factor number is the GCF number.
So the greatest common factor 8782 and 8789 is 1.

Also check out the Least Common Multiple of 8782 and 8789

Properties of GCF 8782 and 8789

(i) The GCF of 8782 and 8789 is associative

GCF of 8782 and 8789 = GCF of 8789 and 8782

Related Greatest Common Factor of 8782

Related Greatest Common Factor of 8789

Frequently Asked Questions on GCF of 8782 and 8789

1. What is the GCF of 8782 and 8789?

Answer: GCF of 8782 and 8789 is 1.

2. What are the Factors of 8782?

Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.

3. What are the Factors of 8789?

Answer: Factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789. There are 8 integers that are factors of 8789. The greatest factor of 8789 is 8789.

4. How to Find the GCF of 8782 and 8789?

Answer:

Greatest Common Factor of 8782 and 8789 = 1

Step 1: Find the prime factorization of 8782

8782 = 2 x 4391

Step 2: Find the prime factorization of 8789

8789 = 11 x 17 x 47

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 8782 and 8789 is 1