Greatest Common Factor of 8774 and 8778

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, 8778 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8774 and 8778 is 2.

GCF(8774,8778) = 2

GCF of 8774 and 8778

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

GCF of:
and

Greatest Common Factor of 8774 and 8778

GCF of 8774 and 8778 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 8778


2 8778
3 4389
7 1463
11 209
19 19
1

Prime factors of 8778 are 2,3,7,11,19. Prime factorization of 8778 in exponential form is:

8778 = 21×31×71×111×191

∴ So by taking common prime factors GCF of 8774 and 8778 is 2

Greatest Common Factor of 8774 and 8778 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 8778

List of positive integer factors of 8778 that divides 8778 without a remainder.

1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778

Greatest Common Factor

We found the factors and prime factorization of 8774 and 8778. The biggest common factor number is the GCF number.
So the greatest common factor 8774 and 8778 is 2.

Also check out the Least Common Multiple of 8774 and 8778

Properties of GCF 8774 and 8778

(i) The GCF of 8774 and 8778 is associative

GCF of 8774 and 8778 = GCF of 8778 and 8774

Related Greatest Common Factor of 8774

Related Greatest Common Factor of 8778

Frequently Asked Questions on GCF of 8774 and 8778

1. What is the GCF of 8774 and 8778?

Answer: GCF of 8774 and 8778 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 8778?

Answer: Factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778. There are 32 integers that are factors of 8778. The greatest factor of 8778 is 8778.

4. How to Find the GCF of 8774 and 8778?

Answer:

Greatest Common Factor of 8774 and 8778 = 2

Step 1: Find the prime factorization of 8774

8774 = 2 x 41 x 107

Step 2: Find the prime factorization of 8778

8778 = 2 x 3 x 7 x 11 x 19

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 8778 is 2