Greatest Common Factor of 3882 and 3890

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 3882, 3890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3882 and 3890 is 2.

GCF(3882,3890) = 2

GCF of 3882 and 3890

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

GCF of:
and

Greatest Common Factor of 3882 and 3890

GCF of 3882 and 3890 is 2

Prime Factorization of 3882


2 3882
3 1941
647 647
1

Prime factors of 3882 are 2,3,647. Prime factorization of 3882 in exponential form is:

3882 = 21×31×6471

Prime Factorization of 3890


2 3890
5 1945
389 389
1

Prime factors of 3890 are 2,5,389. Prime factorization of 3890 in exponential form is:

3890 = 21×51×3891

∴ So by taking common prime factors GCF of 3882 and 3890 is 2

Greatest Common Factor of 3882 and 3890 by matching factors method

Factors of 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1,2,3,6,647,1294,1941,3882

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1,2,5,10,389,778,1945,3890

Greatest Common Factor

We found the factors and prime factorization of 3882 and 3890. The biggest common factor number is the GCF number.
So the greatest common factor 3882 and 3890 is 2.

Also check out the Least Common Multiple of 3882 and 3890

Properties of GCF 3882 and 3890

(i) The GCF of 3882 and 3890 is associative

GCF of 3882 and 3890 = GCF of 3890 and 3882

Related Greatest Common Factor of 3882

Related Greatest Common Factor of 3890

Frequently Asked Questions on GCF of 3882 and 3890

1. What is the GCF of 3882 and 3890?

Answer: GCF of 3882 and 3890 is 2.

2. What are the Factors of 3882?

Answer: Factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882. There are 8 integers that are factors of 3882. The greatest factor of 3882 is 3882.

3. What are the Factors of 3890?

Answer: Factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890. There are 8 integers that are factors of 3890. The greatest factor of 3890 is 3890.

4. How to Find the GCF of 3882 and 3890?

Answer:

Greatest Common Factor of 3882 and 3890 = 2

Step 1: Find the prime factorization of 3882

3882 = 2 x 3 x 647

Step 2: Find the prime factorization of 3890

3890 = 2 x 5 x 389

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 3882 and 3890 is 2