Greatest Common Factor of 4902 and 4910

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 4902, 4910 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4902 and 4910 is 2.

GCF(4902,4910) = 2

GCF of 4902 and 4910

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

GCF of:
and

Greatest Common Factor of 4902 and 4910

GCF of 4902 and 4910 is 2

Prime Factorization of 4902


2 4902
3 2451
19 817
43 43
1

Prime factors of 4902 are 2,3,19,43. Prime factorization of 4902 in exponential form is:

4902 = 21×31×191×431

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

∴ So by taking common prime factors GCF of 4902 and 4910 is 2

Greatest Common Factor of 4902 and 4910 by matching factors method

Factors of 4902

List of positive integer factors of 4902 that divides 4902 without a remainder.

1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902

Factors of 4910

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

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

Greatest Common Factor

We found the factors and prime factorization of 4902 and 4910. The biggest common factor number is the GCF number.
So the greatest common factor 4902 and 4910 is 2.

Also check out the Least Common Multiple of 4902 and 4910

Properties of GCF 4902 and 4910

(i) The GCF of 4902 and 4910 is associative

GCF of 4902 and 4910 = GCF of 4910 and 4902

Related Greatest Common Factor of 4902

Related Greatest Common Factor of 4910

Frequently Asked Questions on GCF of 4902 and 4910

1. What is the GCF of 4902 and 4910?

Answer: GCF of 4902 and 4910 is 2.

2. What are the Factors of 4902?

Answer: Factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902. There are 16 integers that are factors of 4902. The greatest factor of 4902 is 4902.

3. 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.

4. How to Find the GCF of 4902 and 4910?

Answer:

Greatest Common Factor of 4902 and 4910 = 2

Step 1: Find the prime factorization of 4902

4902 = 2 x 3 x 19 x 43

Step 2: Find the prime factorization of 4910

4910 = 2 x 5 x 491

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 4902 and 4910 is 2