Greatest Common Factor of 8820 and 8828

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, 8828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8820 and 8828 is 4.

GCF(8820,8828) = 4

GCF of 8820 and 8828

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

GCF of:
and

Greatest Common Factor of 8820 and 8828

GCF of 8820 and 8828 is 4

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 8828


2 8828
2 4414
2207 2207
1

Prime factors of 8828 are 2,2207. Prime factorization of 8828 in exponential form is:

8828 = 22×22071

∴ So by taking common prime factors GCF of 8820 and 8828 is 4

Greatest Common Factor of 8820 and 8828 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 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1,2,4,2207,4414,8828

Greatest Common Factor

We found the factors and prime factorization of 8820 and 8828. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8828 is 4.

Also check out the Least Common Multiple of 8820 and 8828

Properties of GCF 8820 and 8828

(i) The GCF of 8820 and 8828 is associative

GCF of 8820 and 8828 = GCF of 8828 and 8820

Related Greatest Common Factor of 8820

Related Greatest Common Factor of 8828

Frequently Asked Questions on GCF of 8820 and 8828

1. What is the GCF of 8820 and 8828?

Answer: GCF of 8820 and 8828 is 4.

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 8828?

Answer: Factors of 8828 are 1, 2, 4, 2207, 4414, 8828. There are 6 integers that are factors of 8828. The greatest factor of 8828 is 8828.

4. How to Find the GCF of 8820 and 8828?

Answer:

Greatest Common Factor of 8820 and 8828 = 4

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 8828

8828 = 2 x 2 x 2207

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8820 and 8828 is 4