Greatest Common Factor of 3894 and 3900

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 3894, 3900 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3894 and 3900 is 6.

GCF(3894,3900) = 6

GCF of 3894 and 3900

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

GCF of:
and

Greatest Common Factor of 3894 and 3900

GCF of 3894 and 3900 is 6

Prime Factorization of 3894


2 3894
3 1947
11 649
59 59
1

Prime factors of 3894 are 2,3,11,59. Prime factorization of 3894 in exponential form is:

3894 = 21×31×111×591

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

∴ So by taking common prime factors GCF of 3894 and 3900 is 6

Greatest Common Factor of 3894 and 3900 by matching factors method

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

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

Greatest Common Factor

We found the factors and prime factorization of 3894 and 3900. The biggest common factor number is the GCF number.
So the greatest common factor 3894 and 3900 is 6.

Also check out the Least Common Multiple of 3894 and 3900

Properties of GCF 3894 and 3900

(i) The GCF of 3894 and 3900 is associative

GCF of 3894 and 3900 = GCF of 3900 and 3894

Related Greatest Common Factor of 3894

Related Greatest Common Factor of 3900

Frequently Asked Questions on GCF of 3894 and 3900

1. What is the GCF of 3894 and 3900?

Answer: GCF of 3894 and 3900 is 6.

2. What are the Factors of 3894?

Answer: Factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. There are 16 integers that are factors of 3894. The greatest factor of 3894 is 3894.

3. 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.

4. How to Find the GCF of 3894 and 3900?

Answer:

Greatest Common Factor of 3894 and 3900 = 6

Step 1: Find the prime factorization of 3894

3894 = 2 x 3 x 11 x 59

Step 2: Find the prime factorization of 3900

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

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 3894 and 3900 is 6