Greatest Common Factor of 4896 and 4900

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 4896, 4900 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4896 and 4900 is 4.

GCF(4896,4900) = 4

GCF of 4896 and 4900

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

GCF of:
and

Greatest Common Factor of 4896 and 4900

GCF of 4896 and 4900 is 4

Prime Factorization of 4896


2 4896
2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 4896 are 2,3,17. Prime factorization of 4896 in exponential form is:

4896 = 25×32×171

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

∴ So by taking common prime factors GCF of 4896 and 4900 is 4

Greatest Common Factor of 4896 and 4900 by matching factors method

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896

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

Greatest Common Factor

We found the factors and prime factorization of 4896 and 4900. The biggest common factor number is the GCF number.
So the greatest common factor 4896 and 4900 is 4.

Also check out the Least Common Multiple of 4896 and 4900

Properties of GCF 4896 and 4900

(i) The GCF of 4896 and 4900 is associative

GCF of 4896 and 4900 = GCF of 4900 and 4896

Related Greatest Common Factor of 4896

Related Greatest Common Factor of 4900

Frequently Asked Questions on GCF of 4896 and 4900

1. What is the GCF of 4896 and 4900?

Answer: GCF of 4896 and 4900 is 4.

2. What are the Factors of 4896?

Answer: Factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896. There are 36 integers that are factors of 4896. The greatest factor of 4896 is 4896.

3. 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.

4. How to Find the GCF of 4896 and 4900?

Answer:

Greatest Common Factor of 4896 and 4900 = 4

Step 1: Find the prime factorization of 4896

4896 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 4900

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4896 and 4900 is 4