Greatest Common Factor of 4926 and 4934

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 4926, 4934 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4926 and 4934 is 2.

GCF(4926,4934) = 2

GCF of 4926 and 4934

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

GCF of:
and

Greatest Common Factor of 4926 and 4934

GCF of 4926 and 4934 is 2

Prime Factorization of 4926


2 4926
3 2463
821 821
1

Prime factors of 4926 are 2,3,821. Prime factorization of 4926 in exponential form is:

4926 = 21×31×8211

Prime Factorization of 4934


2 4934
2467 2467
1

Prime factors of 4934 are 2,2467. Prime factorization of 4934 in exponential form is:

4934 = 21×24671

∴ So by taking common prime factors GCF of 4926 and 4934 is 2

Greatest Common Factor of 4926 and 4934 by matching factors method

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1,2,3,6,821,1642,2463,4926

Factors of 4934

List of positive integer factors of 4934 that divides 4934 without a remainder.

1,2,2467,4934

Greatest Common Factor

We found the factors and prime factorization of 4926 and 4934. The biggest common factor number is the GCF number.
So the greatest common factor 4926 and 4934 is 2.

Also check out the Least Common Multiple of 4926 and 4934

Properties of GCF 4926 and 4934

(i) The GCF of 4926 and 4934 is associative

GCF of 4926 and 4934 = GCF of 4934 and 4926

Related Greatest Common Factor of 4926

Related Greatest Common Factor of 4934

Frequently Asked Questions on GCF of 4926 and 4934

1. What is the GCF of 4926 and 4934?

Answer: GCF of 4926 and 4934 is 2.

2. What are the Factors of 4926?

Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.

3. What are the Factors of 4934?

Answer: Factors of 4934 are 1, 2, 2467, 4934. There are 4 integers that are factors of 4934. The greatest factor of 4934 is 4934.

4. How to Find the GCF of 4926 and 4934?

Answer:

Greatest Common Factor of 4926 and 4934 = 2

Step 1: Find the prime factorization of 4926

4926 = 2 x 3 x 821

Step 2: Find the prime factorization of 4934

4934 = 2 x 2467

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 4926 and 4934 is 2