Greatest Common Factor of 3900 and 3901

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, 3901 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3900 and 3901 is 1.

GCF(3900,3901) = 1

GCF of 3900 and 3901

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

GCF of:
and

Greatest Common Factor of 3900 and 3901

GCF of 3900 and 3901 is 1

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 3901


47 3901
83 83
1

Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:

3901 = 471×831

∴ So by taking common prime factors GCF of 3900 and 3901 is 1

Greatest Common Factor of 3900 and 3901 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 3901

List of positive integer factors of 3901 that divides 3901 without a remainder.

1,47,83,3901

Greatest Common Factor

We found the factors and prime factorization of 3900 and 3901. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3901 is 1.

Also check out the Least Common Multiple of 3900 and 3901

Properties of GCF 3900 and 3901

(i) The GCF of 3900 and 3901 is associative

GCF of 3900 and 3901 = GCF of 3901 and 3900

Related Greatest Common Factor of 3900

Related Greatest Common Factor of 3901

Frequently Asked Questions on GCF of 3900 and 3901

1. What is the GCF of 3900 and 3901?

Answer: GCF of 3900 and 3901 is 1.

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 3901?

Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.

4. How to Find the GCF of 3900 and 3901?

Answer:

Greatest Common Factor of 3900 and 3901 = 1

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 3901

3901 = 47 x 83

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3900 and 3901 is 1