Greatest Common Factor of 4900 and 4902

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 4900, 4902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4900 and 4902 is 2.

GCF(4900,4902) = 2

GCF of 4900 and 4902

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

GCF of:
and

Greatest Common Factor of 4900 and 4902

GCF of 4900 and 4902 is 2

Prime Factorization of 4900


2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 4900 are 2,5,7. Prime factorization of 4900 in exponential form is:

4900 = 22×52×72

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

∴ So by taking common prime factors GCF of 4900 and 4902 is 2

Greatest Common Factor of 4900 and 4902 by matching factors method

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

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

Greatest Common Factor

We found the factors and prime factorization of 4900 and 4902. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4902 is 2.

Also check out the Least Common Multiple of 4900 and 4902

Properties of GCF 4900 and 4902

(i) The GCF of 4900 and 4902 is associative

GCF of 4900 and 4902 = GCF of 4902 and 4900

Related Greatest Common Factor of 4900

Related Greatest Common Factor of 4902

Frequently Asked Questions on GCF of 4900 and 4902

1. What is the GCF of 4900 and 4902?

Answer: GCF of 4900 and 4902 is 2.

2. What are the Factors of 4900?

Answer: Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. There are 27 integers that are factors of 4900. The greatest factor of 4900 is 4900.

3. 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.

4. How to Find the GCF of 4900 and 4902?

Answer:

Greatest Common Factor of 4900 and 4902 = 2

Step 1: Find the prime factorization of 4900

4900 = 2 x 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 4902

4902 = 2 x 3 x 19 x 43

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 4900 and 4902 is 2