Greatest Common Factor of 4910 and 4918

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 4910, 4918 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4910 and 4918 is 2.

GCF(4910,4918) = 2

GCF of 4910 and 4918

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

GCF of:
and

Greatest Common Factor of 4910 and 4918

GCF of 4910 and 4918 is 2

Prime Factorization of 4910


2 4910
5 2455
491 491
1

Prime factors of 4910 are 2,5,491. Prime factorization of 4910 in exponential form is:

4910 = 21×51×4911

Prime Factorization of 4918


2 4918
2459 2459
1

Prime factors of 4918 are 2,2459. Prime factorization of 4918 in exponential form is:

4918 = 21×24591

∴ So by taking common prime factors GCF of 4910 and 4918 is 2

Greatest Common Factor of 4910 and 4918 by matching factors method

Factors of 4910

List of positive integer factors of 4910 that divides 4910 without a remainder.

1,2,5,10,491,982,2455,4910

Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1,2,2459,4918

Greatest Common Factor

We found the factors and prime factorization of 4910 and 4918. The biggest common factor number is the GCF number.
So the greatest common factor 4910 and 4918 is 2.

Also check out the Least Common Multiple of 4910 and 4918

Properties of GCF 4910 and 4918

(i) The GCF of 4910 and 4918 is associative

GCF of 4910 and 4918 = GCF of 4918 and 4910

Related Greatest Common Factor of 4910

Related Greatest Common Factor of 4918

Frequently Asked Questions on GCF of 4910 and 4918

1. What is the GCF of 4910 and 4918?

Answer: GCF of 4910 and 4918 is 2.

2. What are the Factors of 4910?

Answer: Factors of 4910 are 1, 2, 5, 10, 491, 982, 2455, 4910. There are 8 integers that are factors of 4910. The greatest factor of 4910 is 4910.

3. What are the Factors of 4918?

Answer: Factors of 4918 are 1, 2, 2459, 4918. There are 4 integers that are factors of 4918. The greatest factor of 4918 is 4918.

4. How to Find the GCF of 4910 and 4918?

Answer:

Greatest Common Factor of 4910 and 4918 = 2

Step 1: Find the prime factorization of 4910

4910 = 2 x 5 x 491

Step 2: Find the prime factorization of 4918

4918 = 2 x 2459

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 4910 and 4918 is 2