Greatest Common Factor of 3900 and 3904

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 3900, 3904 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3900 and 3904 is 4.

GCF(3900,3904) = 4

GCF of 3900 and 3904

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

GCF of:
and

Greatest Common Factor of 3900 and 3904

GCF of 3900 and 3904 is 4

Prime Factorization of 3900


2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 3900 are 2,3,5,13. Prime factorization of 3900 in exponential form is:

3900 = 22×31×52×131

Prime Factorization of 3904


2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 3904 are 2,61. Prime factorization of 3904 in exponential form is:

3904 = 26×611

∴ So by taking common prime factors GCF of 3900 and 3904 is 4

Greatest Common Factor of 3900 and 3904 by matching factors method

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

Greatest Common Factor

We found the factors and prime factorization of 3900 and 3904. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3904 is 4.

Also check out the Least Common Multiple of 3900 and 3904

Properties of GCF 3900 and 3904

(i) The GCF of 3900 and 3904 is associative

GCF of 3900 and 3904 = GCF of 3904 and 3900

Related Greatest Common Factor of 3900

Related Greatest Common Factor of 3904

Frequently Asked Questions on GCF of 3900 and 3904

1. What is the GCF of 3900 and 3904?

Answer: GCF of 3900 and 3904 is 4.

2. What are the Factors of 3900?

Answer: Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. There are 36 integers that are factors of 3900. The greatest factor of 3900 is 3900.

3. What are the Factors of 3904?

Answer: Factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. There are 14 integers that are factors of 3904. The greatest factor of 3904 is 3904.

4. How to Find the GCF of 3900 and 3904?

Answer:

Greatest Common Factor of 3900 and 3904 = 4

Step 1: Find the prime factorization of 3900

3900 = 2 x 2 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 3904

3904 = 2 x 2 x 2 x 2 x 2 x 2 x 61

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 3900 and 3904 is 4