Greatest Common Factor of 4820 and 4824

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 4820, 4824 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4820 and 4824 is 4.

GCF(4820,4824) = 4

GCF of 4820 and 4824

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

GCF of:
and

Greatest Common Factor of 4820 and 4824

GCF of 4820 and 4824 is 4

Prime Factorization of 4820


2 4820
2 2410
5 1205
241 241
1

Prime factors of 4820 are 2,5,241. Prime factorization of 4820 in exponential form is:

4820 = 22×51×2411

Prime Factorization of 4824


2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 4824 are 2,3,67. Prime factorization of 4824 in exponential form is:

4824 = 23×32×671

∴ So by taking common prime factors GCF of 4820 and 4824 is 4

Greatest Common Factor of 4820 and 4824 by matching factors method

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors and prime factorization of 4820 and 4824. The biggest common factor number is the GCF number.
So the greatest common factor 4820 and 4824 is 4.

Also check out the Least Common Multiple of 4820 and 4824

Properties of GCF 4820 and 4824

(i) The GCF of 4820 and 4824 is associative

GCF of 4820 and 4824 = GCF of 4824 and 4820

Related Greatest Common Factor of 4820

Related Greatest Common Factor of 4824

Frequently Asked Questions on GCF of 4820 and 4824

1. What is the GCF of 4820 and 4824?

Answer: GCF of 4820 and 4824 is 4.

2. What are the Factors of 4820?

Answer: Factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820. There are 12 integers that are factors of 4820. The greatest factor of 4820 is 4820.

3. What are the Factors of 4824?

Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.

4. How to Find the GCF of 4820 and 4824?

Answer:

Greatest Common Factor of 4820 and 4824 = 4

Step 1: Find the prime factorization of 4820

4820 = 2 x 2 x 5 x 241

Step 2: Find the prime factorization of 4824

4824 = 2 x 2 x 2 x 3 x 3 x 67

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 4820 and 4824 is 4