Greatest Common Factor of 8820 and 8825

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 8820, 8825 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8820 and 8825 is 5.

GCF(8820,8825) = 5

GCF of 8820 and 8825

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

GCF of:
and

Greatest Common Factor of 8820 and 8825

GCF of 8820 and 8825 is 5

Prime Factorization of 8820


2 8820
2 4410
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 8820 are 2,3,5,7. Prime factorization of 8820 in exponential form is:

8820 = 22×32×51×72

Prime Factorization of 8825


5 8825
5 1765
353 353
1

Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:

8825 = 52×3531

∴ So by taking common prime factors GCF of 8820 and 8825 is 5

Greatest Common Factor of 8820 and 8825 by matching factors method

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1,5,25,353,1765,8825

Greatest Common Factor

We found the factors and prime factorization of 8820 and 8825. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8825 is 5.

Also check out the Least Common Multiple of 8820 and 8825

Properties of GCF 8820 and 8825

(i) The GCF of 8820 and 8825 is associative

GCF of 8820 and 8825 = GCF of 8825 and 8820

Related Greatest Common Factor of 8820

Related Greatest Common Factor of 8825

Frequently Asked Questions on GCF of 8820 and 8825

1. What is the GCF of 8820 and 8825?

Answer: GCF of 8820 and 8825 is 5.

2. What are the Factors of 8820?

Answer: Factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. There are 54 integers that are factors of 8820. The greatest factor of 8820 is 8820.

3. What are the Factors of 8825?

Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.

4. How to Find the GCF of 8820 and 8825?

Answer:

Greatest Common Factor of 8820 and 8825 = 5

Step 1: Find the prime factorization of 8820

8820 = 2 x 2 x 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 8825

8825 = 5 x 5 x 353

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 8820 and 8825 is 5