Greatest Common Factor of 8768 and 8774

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 8768, 8774 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8768 and 8774 is 2.

GCF(8768,8774) = 2

GCF of 8768 and 8774

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

GCF of:
and

Greatest Common Factor of 8768 and 8774

GCF of 8768 and 8774 is 2

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

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

∴ So by taking common prime factors GCF of 8768 and 8774 is 2

Greatest Common Factor of 8768 and 8774 by matching factors method

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Factors of 8774

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

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

Greatest Common Factor

We found the factors and prime factorization of 8768 and 8774. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8774 is 2.

Also check out the Least Common Multiple of 8768 and 8774

Properties of GCF 8768 and 8774

(i) The GCF of 8768 and 8774 is associative

GCF of 8768 and 8774 = GCF of 8774 and 8768

Related Greatest Common Factor of 8768

Related Greatest Common Factor of 8774

Frequently Asked Questions on GCF of 8768 and 8774

1. What is the GCF of 8768 and 8774?

Answer: GCF of 8768 and 8774 is 2.

2. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

3. 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.

4. How to Find the GCF of 8768 and 8774?

Answer:

Greatest Common Factor of 8768 and 8774 = 2

Step 1: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 8774

8774 = 2 x 41 x 107

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 8768 and 8774 is 2