Greatest Common Factor of 4828 and 4834

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 4828, 4834 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4828 and 4834 is 2.

GCF(4828,4834) = 2

GCF of 4828 and 4834

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

GCF of:
and

Greatest Common Factor of 4828 and 4834

GCF of 4828 and 4834 is 2

Prime Factorization of 4828


2 4828
2 2414
17 1207
71 71
1

Prime factors of 4828 are 2,17,71. Prime factorization of 4828 in exponential form is:

4828 = 22×171×711

Prime Factorization of 4834


2 4834
2417 2417
1

Prime factors of 4834 are 2,2417. Prime factorization of 4834 in exponential form is:

4834 = 21×24171

∴ So by taking common prime factors GCF of 4828 and 4834 is 2

Greatest Common Factor of 4828 and 4834 by matching factors method

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1,2,4,17,34,68,71,142,284,1207,2414,4828

Factors of 4834

List of positive integer factors of 4834 that divides 4834 without a remainder.

1,2,2417,4834

Greatest Common Factor

We found the factors and prime factorization of 4828 and 4834. The biggest common factor number is the GCF number.
So the greatest common factor 4828 and 4834 is 2.

Also check out the Least Common Multiple of 4828 and 4834

Properties of GCF 4828 and 4834

(i) The GCF of 4828 and 4834 is associative

GCF of 4828 and 4834 = GCF of 4834 and 4828

Related Greatest Common Factor of 4828

Related Greatest Common Factor of 4834

Frequently Asked Questions on GCF of 4828 and 4834

1. What is the GCF of 4828 and 4834?

Answer: GCF of 4828 and 4834 is 2.

2. What are the Factors of 4828?

Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.

3. What are the Factors of 4834?

Answer: Factors of 4834 are 1, 2, 2417, 4834. There are 4 integers that are factors of 4834. The greatest factor of 4834 is 4834.

4. How to Find the GCF of 4828 and 4834?

Answer:

Greatest Common Factor of 4828 and 4834 = 2

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4834

4834 = 2 x 2417

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4828 and 4834 is 2