Greatest Common Factor of 3900 and 3905

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, 3905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3900 and 3905 is 5.

GCF(3900,3905) = 5

GCF of 3900 and 3905

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

GCF of:
and

Greatest Common Factor of 3900 and 3905

GCF of 3900 and 3905 is 5

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 3905


5 3905
11 781
71 71
1

Prime factors of 3905 are 5,11,71. Prime factorization of 3905 in exponential form is:

3905 = 51×111×711

∴ So by taking common prime factors GCF of 3900 and 3905 is 5

Greatest Common Factor of 3900 and 3905 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 3905

List of positive integer factors of 3905 that divides 3905 without a remainder.

1,5,11,55,71,355,781,3905

Greatest Common Factor

We found the factors and prime factorization of 3900 and 3905. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3905 is 5.

Also check out the Least Common Multiple of 3900 and 3905

Properties of GCF 3900 and 3905

(i) The GCF of 3900 and 3905 is associative

GCF of 3900 and 3905 = GCF of 3905 and 3900

Related Greatest Common Factor of 3900

Related Greatest Common Factor of 3905

Frequently Asked Questions on GCF of 3900 and 3905

1. What is the GCF of 3900 and 3905?

Answer: GCF of 3900 and 3905 is 5.

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 3905?

Answer: Factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905. There are 8 integers that are factors of 3905. The greatest factor of 3905 is 3905.

4. How to Find the GCF of 3900 and 3905?

Answer:

Greatest Common Factor of 3900 and 3905 = 5

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 3905

3905 = 5 x 11 x 71

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 3900 and 3905 is 5