Greatest Common Factor of 8774 and 8780

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, 8780 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8774 and 8780 is 2.

GCF(8774,8780) = 2

GCF of 8774 and 8780

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

GCF of:
and

Greatest Common Factor of 8774 and 8780

GCF of 8774 and 8780 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 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2,5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

∴ So by taking common prime factors GCF of 8774 and 8780 is 2

Greatest Common Factor of 8774 and 8780 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 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1,2,4,5,10,20,439,878,1756,2195,4390,8780

Greatest Common Factor

We found the factors and prime factorization of 8774 and 8780. The biggest common factor number is the GCF number.
So the greatest common factor 8774 and 8780 is 2.

Also check out the Least Common Multiple of 8774 and 8780

Properties of GCF 8774 and 8780

(i) The GCF of 8774 and 8780 is associative

GCF of 8774 and 8780 = GCF of 8780 and 8774

Related Greatest Common Factor of 8774

Related Greatest Common Factor of 8780

Frequently Asked Questions on GCF of 8774 and 8780

1. What is the GCF of 8774 and 8780?

Answer: GCF of 8774 and 8780 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 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

4. How to Find the GCF of 8774 and 8780?

Answer:

Greatest Common Factor of 8774 and 8780 = 2

Step 1: Find the prime factorization of 8774

8774 = 2 x 41 x 107

Step 2: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

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 8780 is 2