Greatest Common Factor of 4900 and 4906

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, 4906 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4900 and 4906 is 2.

GCF(4900,4906) = 2

GCF of 4900 and 4906

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

GCF of:
and

Greatest Common Factor of 4900 and 4906

GCF of 4900 and 4906 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 4906


2 4906
11 2453
223 223
1

Prime factors of 4906 are 2,11,223. Prime factorization of 4906 in exponential form is:

4906 = 21×111×2231

∴ So by taking common prime factors GCF of 4900 and 4906 is 2

Greatest Common Factor of 4900 and 4906 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 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1,2,11,22,223,446,2453,4906

Greatest Common Factor

We found the factors and prime factorization of 4900 and 4906. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4906 is 2.

Also check out the Least Common Multiple of 4900 and 4906

Properties of GCF 4900 and 4906

(i) The GCF of 4900 and 4906 is associative

GCF of 4900 and 4906 = GCF of 4906 and 4900

Related Greatest Common Factor of 4900

Related Greatest Common Factor of 4906

Frequently Asked Questions on GCF of 4900 and 4906

1. What is the GCF of 4900 and 4906?

Answer: GCF of 4900 and 4906 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 4906?

Answer: Factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906. There are 8 integers that are factors of 4906. The greatest factor of 4906 is 4906.

4. How to Find the GCF of 4900 and 4906?

Answer:

Greatest Common Factor of 4900 and 4906 = 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 4906

4906 = 2 x 11 x 223

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 4906 is 2