Greatest Common Factor of 8774 and 8782

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 8774, 8782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8774 and 8782 is 2.

GCF(8774,8782) = 2

GCF of 8774 and 8782

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

GCF of:
and

Greatest Common Factor of 8774 and 8782

GCF of 8774 and 8782 is 2

Prime Factorization of 8774


2 8774
41 4387
107 107
1

Prime factors of 8774 are 2,41,107. Prime factorization of 8774 in exponential form is:

8774 = 21×411×1071

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

∴ So by taking common prime factors GCF of 8774 and 8782 is 2

Greatest Common Factor of 8774 and 8782 by matching factors method

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Factors of 8782

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

1,2,4391,8782

Greatest Common Factor

We found the factors and prime factorization of 8774 and 8782. The biggest common factor number is the GCF number.
So the greatest common factor 8774 and 8782 is 2.

Also check out the Least Common Multiple of 8774 and 8782

Properties of GCF 8774 and 8782

(i) The GCF of 8774 and 8782 is associative

GCF of 8774 and 8782 = GCF of 8782 and 8774

Related Greatest Common Factor of 8774

Related Greatest Common Factor of 8782

Frequently Asked Questions on GCF of 8774 and 8782

1. What is the GCF of 8774 and 8782?

Answer: GCF of 8774 and 8782 is 2.

2. What are the Factors of 8774?

Answer: Factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774. There are 8 integers that are factors of 8774. The greatest factor of 8774 is 8774.

3. 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.

4. How to Find the GCF of 8774 and 8782?

Answer:

Greatest Common Factor of 8774 and 8782 = 2

Step 1: Find the prime factorization of 8774

8774 = 2 x 41 x 107

Step 2: Find the prime factorization of 8782

8782 = 2 x 4391

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8774 and 8782 is 2