Greatest Common Factor of 820 and 824

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 820, 824 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 820 and 824 is 4.

GCF(820,824) = 4

GCF of 820 and 824

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

GCF of:
and

Greatest Common Factor of 820 and 824

GCF of 820 and 824 is 4

Prime Factorization of 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2,5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Prime Factorization of 824


2 824
2 412
2 206
103 103
1

Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:

824 = 23×1031

∴ So by taking common prime factors GCF of 820 and 824 is 4

Greatest Common Factor of 820 and 824 by matching factors method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors and prime factorization of 820 and 824. The biggest common factor number is the GCF number.
So the greatest common factor 820 and 824 is 4.

Also check out the Least Common Multiple of 820 and 824

Properties of GCF 820 and 824

(i) The GCF of 820 and 824 is associative

GCF of 820 and 824 = GCF of 824 and 820

Related Greatest Common Factor of 820

Related Greatest Common Factor of 824

Frequently Asked Questions on GCF of 820 and 824

1. What is the GCF of 820 and 824?

Answer: GCF of 820 and 824 is 4.

2. What are the Factors of 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

3. What are the Factors of 824?

Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.

4. How to Find the GCF of 820 and 824?

Answer:

Greatest Common Factor of 820 and 824 = 4

Step 1: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 824

824 = 2 x 2 x 2 x 103

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 820 and 824 is 4