Greatest Common Factor of 3889 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 3889, 3890 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3889 and 3890 is 1.

GCF(3889,3890) = 1

GCF of 3889 and 3890

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

GCF of:
and

Greatest Common Factor of 3889 and 3890

GCF of 3889 and 3890 is 1

Prime Factorization of 3889


3889 3889
1

Prime factors of 3889 are 3889. Prime factorization of 3889 in exponential form is:

3889 = 38891

Prime Factorization of 3890


2 3890
5 1945
389 389
1

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

3890 = 21×51×3891

∴ So by taking common prime factors GCF of 3889 and 3890 is 1

Greatest Common Factor of 3889 and 3890 by matching factors method

Factors of 3889

List of positive integer factors of 3889 that divides 3889 without a remainder.

1,3889

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 3889 and 3890. The biggest common factor number is the GCF number.
So the greatest common factor 3889 and 3890 is 1.

Also check out the Least Common Multiple of 3889 and 3890

Properties of GCF 3889 and 3890

(i) The GCF of 3889 and 3890 is associative

GCF of 3889 and 3890 = GCF of 3890 and 3889

Frequently Asked Questions on GCF of 3889 and 3890

1. What is the GCF of 3889 and 3890?

Answer: GCF of 3889 and 3890 is 1.

2. What are the Factors of 3889?

Answer: Factors of 3889 are 1, 3889. There are 2 integers that are factors of 3889. The greatest factor of 3889 is 3889.

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 3889 and 3890?

Answer:

Greatest Common Factor of 3889 and 3890 = 1

Step 1: Find the prime factorization of 3889

3889 = 3889

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 = = 1

Step 4: Therefore, the greatest common factor of 3889 and 3890 is 1