Greatest Common Factor of 3900 and 3906

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, 3906 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3900 and 3906 is 6.

GCF(3900,3906) = 6

GCF of 3900 and 3906

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

GCF of:
and

Greatest Common Factor of 3900 and 3906

GCF of 3900 and 3906 is 6

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 3906


2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 3906 are 2,3,7,31. Prime factorization of 3906 in exponential form is:

3906 = 21×32×71×311

∴ So by taking common prime factors GCF of 3900 and 3906 is 6

Greatest Common Factor of 3900 and 3906 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 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Greatest Common Factor

We found the factors and prime factorization of 3900 and 3906. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3906 is 6.

Also check out the Least Common Multiple of 3900 and 3906

Properties of GCF 3900 and 3906

(i) The GCF of 3900 and 3906 is associative

GCF of 3900 and 3906 = GCF of 3906 and 3900

Related Greatest Common Factor of 3900

Related Greatest Common Factor of 3906

Frequently Asked Questions on GCF of 3900 and 3906

1. What is the GCF of 3900 and 3906?

Answer: GCF of 3900 and 3906 is 6.

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 3906?

Answer: Factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906. There are 24 integers that are factors of 3906. The greatest factor of 3906 is 3906.

4. How to Find the GCF of 3900 and 3906?

Answer:

Greatest Common Factor of 3900 and 3906 = 6

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 3906

3906 = 2 x 3 x 3 x 7 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3900 and 3906 is 6