Greatest Common Factor of 4900 and 4904

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, 4904 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4900 and 4904 is 4.

GCF(4900,4904) = 4

GCF of 4900 and 4904

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

GCF of:
and

Greatest Common Factor of 4900 and 4904

GCF of 4900 and 4904 is 4

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 4904


2 4904
2 2452
2 1226
613 613
1

Prime factors of 4904 are 2,613. Prime factorization of 4904 in exponential form is:

4904 = 23×6131

∴ So by taking common prime factors GCF of 4900 and 4904 is 4

Greatest Common Factor of 4900 and 4904 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 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1,2,4,8,613,1226,2452,4904

Greatest Common Factor

We found the factors and prime factorization of 4900 and 4904. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4904 is 4.

Also check out the Least Common Multiple of 4900 and 4904

Properties of GCF 4900 and 4904

(i) The GCF of 4900 and 4904 is associative

GCF of 4900 and 4904 = GCF of 4904 and 4900

Related Greatest Common Factor of 4900

Related Greatest Common Factor of 4904

Frequently Asked Questions on GCF of 4900 and 4904

1. What is the GCF of 4900 and 4904?

Answer: GCF of 4900 and 4904 is 4.

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 4904?

Answer: Factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904. There are 8 integers that are factors of 4904. The greatest factor of 4904 is 4904.

4. How to Find the GCF of 4900 and 4904?

Answer:

Greatest Common Factor of 4900 and 4904 = 4

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 4904

4904 = 2 x 2 x 2 x 613

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 4900 and 4904 is 4