Greatest Common Factor of 4900 and 4905

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, 4905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4900 and 4905 is 5.

GCF(4900,4905) = 5

GCF of 4900 and 4905

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

GCF of:
and

Greatest Common Factor of 4900 and 4905

GCF of 4900 and 4905 is 5

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 4905


3 4905
3 1635
5 545
109 109
1

Prime factors of 4905 are 3,5,109. Prime factorization of 4905 in exponential form is:

4905 = 32×51×1091

∴ So by taking common prime factors GCF of 4900 and 4905 is 5

Greatest Common Factor of 4900 and 4905 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 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors and prime factorization of 4900 and 4905. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4905 is 5.

Also check out the Least Common Multiple of 4900 and 4905

Properties of GCF 4900 and 4905

(i) The GCF of 4900 and 4905 is associative

GCF of 4900 and 4905 = GCF of 4905 and 4900

Related Greatest Common Factor of 4900

Related Greatest Common Factor of 4905

Frequently Asked Questions on GCF of 4900 and 4905

1. What is the GCF of 4900 and 4905?

Answer: GCF of 4900 and 4905 is 5.

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 4905?

Answer: Factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905. There are 12 integers that are factors of 4905. The greatest factor of 4905 is 4905.

4. How to Find the GCF of 4900 and 4905?

Answer:

Greatest Common Factor of 4900 and 4905 = 5

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 4905

4905 = 3 x 3 x 5 x 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4900 and 4905 is 5