Greatest Common Factor of 4824 and 4830

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 4824, 4830 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4824 and 4830 is 6.

GCF(4824,4830) = 6

GCF of 4824 and 4830

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

GCF of:
and

Greatest Common Factor of 4824 and 4830

GCF of 4824 and 4830 is 6

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

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2,3,5,7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

∴ So by taking common prime factors GCF of 4824 and 4830 is 6

Greatest Common Factor of 4824 and 4830 by matching factors method

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

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Greatest Common Factor

We found the factors and prime factorization of 4824 and 4830. The biggest common factor number is the GCF number.
So the greatest common factor 4824 and 4830 is 6.

Also check out the Least Common Multiple of 4824 and 4830

Properties of GCF 4824 and 4830

(i) The GCF of 4824 and 4830 is associative

GCF of 4824 and 4830 = GCF of 4830 and 4824

Related Greatest Common Factor of 4824

Related Greatest Common Factor of 4830

Frequently Asked Questions on GCF of 4824 and 4830

1. What is the GCF of 4824 and 4830?

Answer: GCF of 4824 and 4830 is 6.

2. 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.

3. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

4. How to Find the GCF of 4824 and 4830?

Answer:

Greatest Common Factor of 4824 and 4830 = 6

Step 1: Find the prime factorization of 4824

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

Step 2: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

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 4824 and 4830 is 6