Greatest Common Factor of 8814 and 8820

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 8814, 8820 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8814 and 8820 is 6.

GCF(8814,8820) = 6

GCF of 8814 and 8820

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

GCF of:
and

Greatest Common Factor of 8814 and 8820

GCF of 8814 and 8820 is 6

Prime Factorization of 8814


2 8814
3 4407
13 1469
113 113
1

Prime factors of 8814 are 2,3,13,113. Prime factorization of 8814 in exponential form is:

8814 = 21×31×131×1131

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

∴ So by taking common prime factors GCF of 8814 and 8820 is 6

Greatest Common Factor of 8814 and 8820 by matching factors method

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

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

Greatest Common Factor

We found the factors and prime factorization of 8814 and 8820. The biggest common factor number is the GCF number.
So the greatest common factor 8814 and 8820 is 6.

Also check out the Least Common Multiple of 8814 and 8820

Properties of GCF 8814 and 8820

(i) The GCF of 8814 and 8820 is associative

GCF of 8814 and 8820 = GCF of 8820 and 8814

Related Greatest Common Factor of 8814

Related Greatest Common Factor of 8820

Frequently Asked Questions on GCF of 8814 and 8820

1. What is the GCF of 8814 and 8820?

Answer: GCF of 8814 and 8820 is 6.

2. What are the Factors of 8814?

Answer: Factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814. There are 16 integers that are factors of 8814. The greatest factor of 8814 is 8814.

3. 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.

4. How to Find the GCF of 8814 and 8820?

Answer:

Greatest Common Factor of 8814 and 8820 = 6

Step 1: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

Step 2: Find the prime factorization of 8820

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

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 8814 and 8820 is 6