Greatest Common Factor of 4812 and 4814

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 4812, 4814 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4812 and 4814 is 2.

GCF(4812,4814) = 2

GCF of 4812 and 4814

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

GCF of:
and

Greatest Common Factor of 4812 and 4814

GCF of 4812 and 4814 is 2

Prime Factorization of 4812


2 4812
2 2406
3 1203
401 401
1

Prime factors of 4812 are 2,3,401. Prime factorization of 4812 in exponential form is:

4812 = 22×31×4011

Prime Factorization of 4814


2 4814
29 2407
83 83
1

Prime factors of 4814 are 2,29,83. Prime factorization of 4814 in exponential form is:

4814 = 21×291×831

∴ So by taking common prime factors GCF of 4812 and 4814 is 2

Greatest Common Factor of 4812 and 4814 by matching factors method

Factors of 4812

List of positive integer factors of 4812 that divides 4812 without a remainder.

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1,2,29,58,83,166,2407,4814

Greatest Common Factor

We found the factors and prime factorization of 4812 and 4814. The biggest common factor number is the GCF number.
So the greatest common factor 4812 and 4814 is 2.

Also check out the Least Common Multiple of 4812 and 4814

Properties of GCF 4812 and 4814

(i) The GCF of 4812 and 4814 is associative

GCF of 4812 and 4814 = GCF of 4814 and 4812

Related Greatest Common Factor of 4812

Related Greatest Common Factor of 4814

Frequently Asked Questions on GCF of 4812 and 4814

1. What is the GCF of 4812 and 4814?

Answer: GCF of 4812 and 4814 is 2.

2. What are the Factors of 4812?

Answer: Factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812. There are 12 integers that are factors of 4812. The greatest factor of 4812 is 4812.

3. What are the Factors of 4814?

Answer: Factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814. There are 8 integers that are factors of 4814. The greatest factor of 4814 is 4814.

4. How to Find the GCF of 4812 and 4814?

Answer:

Greatest Common Factor of 4812 and 4814 = 2

Step 1: Find the prime factorization of 4812

4812 = 2 x 2 x 3 x 401

Step 2: Find the prime factorization of 4814

4814 = 2 x 29 x 83

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 4812 and 4814 is 2