Greatest Common Factor of 3890 and 3898

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 3890, 3898 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3890 and 3898 is 2.

GCF(3890,3898) = 2

GCF of 3890 and 3898

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

GCF of:
and

Greatest Common Factor of 3890 and 3898

GCF of 3890 and 3898 is 2

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

Prime Factorization of 3898


2 3898
1949 1949
1

Prime factors of 3898 are 2,1949. Prime factorization of 3898 in exponential form is:

3898 = 21×19491

∴ So by taking common prime factors GCF of 3890 and 3898 is 2

Greatest Common Factor of 3890 and 3898 by matching factors method

Factors of 3890

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

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

Factors of 3898

List of positive integer factors of 3898 that divides 3898 without a remainder.

1,2,1949,3898

Greatest Common Factor

We found the factors and prime factorization of 3890 and 3898. The biggest common factor number is the GCF number.
So the greatest common factor 3890 and 3898 is 2.

Also check out the Least Common Multiple of 3890 and 3898

Properties of GCF 3890 and 3898

(i) The GCF of 3890 and 3898 is associative

GCF of 3890 and 3898 = GCF of 3898 and 3890

Related Greatest Common Factor of 3890

Related Greatest Common Factor of 3898

Frequently Asked Questions on GCF of 3890 and 3898

1. What is the GCF of 3890 and 3898?

Answer: GCF of 3890 and 3898 is 2.

2. 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.

3. What are the Factors of 3898?

Answer: Factors of 3898 are 1, 2, 1949, 3898. There are 4 integers that are factors of 3898. The greatest factor of 3898 is 3898.

4. How to Find the GCF of 3890 and 3898?

Answer:

Greatest Common Factor of 3890 and 3898 = 2

Step 1: Find the prime factorization of 3890

3890 = 2 x 5 x 389

Step 2: Find the prime factorization of 3898

3898 = 2 x 1949

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 3890 and 3898 is 2