Greatest Common Factor of 8820 and 8826

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, 8826 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8820 and 8826 is 6.

GCF(8820,8826) = 6

GCF of 8820 and 8826

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

GCF of:
and

Greatest Common Factor of 8820 and 8826

GCF of 8820 and 8826 is 6

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 8826


2 8826
3 4413
1471 1471
1

Prime factors of 8826 are 2,3,1471. Prime factorization of 8826 in exponential form is:

8826 = 21×31×14711

∴ So by taking common prime factors GCF of 8820 and 8826 is 6

Greatest Common Factor of 8820 and 8826 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 8826

List of positive integer factors of 8826 that divides 8826 without a remainder.

1,2,3,6,1471,2942,4413,8826

Greatest Common Factor

We found the factors and prime factorization of 8820 and 8826. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8826 is 6.

Also check out the Least Common Multiple of 8820 and 8826

Properties of GCF 8820 and 8826

(i) The GCF of 8820 and 8826 is associative

GCF of 8820 and 8826 = GCF of 8826 and 8820

Related Greatest Common Factor of 8820

Related Greatest Common Factor of 8826

Frequently Asked Questions on GCF of 8820 and 8826

1. What is the GCF of 8820 and 8826?

Answer: GCF of 8820 and 8826 is 6.

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 8826?

Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.

4. How to Find the GCF of 8820 and 8826?

Answer:

Greatest Common Factor of 8820 and 8826 = 6

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 8826

8826 = 2 x 3 x 1471

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8820 and 8826 is 6