Greatest Common Factor of 8780 and 8785

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 8780, 8785 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8780 and 8785 is 5.

GCF(8780,8785) = 5

GCF of 8780 and 8785

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

GCF of:
and

Greatest Common Factor of 8780 and 8785

GCF of 8780 and 8785 is 5

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

Prime Factorization of 8785


5 8785
7 1757
251 251
1

Prime factors of 8785 are 5,7,251. Prime factorization of 8785 in exponential form is:

8785 = 51×71×2511

∴ So by taking common prime factors GCF of 8780 and 8785 is 5

Greatest Common Factor of 8780 and 8785 by matching factors method

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

Factors of 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1,5,7,35,251,1255,1757,8785

Greatest Common Factor

We found the factors and prime factorization of 8780 and 8785. The biggest common factor number is the GCF number.
So the greatest common factor 8780 and 8785 is 5.

Also check out the Least Common Multiple of 8780 and 8785

Properties of GCF 8780 and 8785

(i) The GCF of 8780 and 8785 is associative

GCF of 8780 and 8785 = GCF of 8785 and 8780

Related Greatest Common Factor of 8780

Related Greatest Common Factor of 8785

Frequently Asked Questions on GCF of 8780 and 8785

1. What is the GCF of 8780 and 8785?

Answer: GCF of 8780 and 8785 is 5.

2. 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.

3. What are the Factors of 8785?

Answer: Factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785. There are 8 integers that are factors of 8785. The greatest factor of 8785 is 8785.

4. How to Find the GCF of 8780 and 8785?

Answer:

Greatest Common Factor of 8780 and 8785 = 5

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8785

8785 = 5 x 7 x 251

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8780 and 8785 is 5