Greatest Common Factor of 3900 and 3902

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, 3902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3900 and 3902 is 2.

GCF(3900,3902) = 2

GCF of 3900 and 3902

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

GCF of:
and

Greatest Common Factor of 3900 and 3902

GCF of 3900 and 3902 is 2

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 3902


2 3902
1951 1951
1

Prime factors of 3902 are 2,1951. Prime factorization of 3902 in exponential form is:

3902 = 21×19511

∴ So by taking common prime factors GCF of 3900 and 3902 is 2

Greatest Common Factor of 3900 and 3902 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 3902

List of positive integer factors of 3902 that divides 3902 without a remainder.

1,2,1951,3902

Greatest Common Factor

We found the factors and prime factorization of 3900 and 3902. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3902 is 2.

Also check out the Least Common Multiple of 3900 and 3902

Properties of GCF 3900 and 3902

(i) The GCF of 3900 and 3902 is associative

GCF of 3900 and 3902 = GCF of 3902 and 3900

Related Greatest Common Factor of 3900

Related Greatest Common Factor of 3902

Frequently Asked Questions on GCF of 3900 and 3902

1. What is the GCF of 3900 and 3902?

Answer: GCF of 3900 and 3902 is 2.

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 3902?

Answer: Factors of 3902 are 1, 2, 1951, 3902. There are 4 integers that are factors of 3902. The greatest factor of 3902 is 3902.

4. How to Find the GCF of 3900 and 3902?

Answer:

Greatest Common Factor of 3900 and 3902 = 2

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 3902

3902 = 2 x 1951

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3900 and 3902 is 2