Greatest Common Factor of 3897 and 3903

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 3897, 3903 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3897 and 3903 is 3.

GCF(3897,3903) = 3

GCF of 3897 and 3903

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

GCF of:
and

Greatest Common Factor of 3897 and 3903

GCF of 3897 and 3903 is 3

Prime Factorization of 3897


3 3897
3 1299
433 433
1

Prime factors of 3897 are 3,433. Prime factorization of 3897 in exponential form is:

3897 = 32×4331

Prime Factorization of 3903


3 3903
1301 1301
1

Prime factors of 3903 are 3,1301. Prime factorization of 3903 in exponential form is:

3903 = 31×13011

∴ So by taking common prime factors GCF of 3897 and 3903 is 3

Greatest Common Factor of 3897 and 3903 by matching factors method

Factors of 3897

List of positive integer factors of 3897 that divides 3897 without a remainder.

1,3,9,433,1299,3897

Factors of 3903

List of positive integer factors of 3903 that divides 3903 without a remainder.

1,3,1301,3903

Greatest Common Factor

We found the factors and prime factorization of 3897 and 3903. The biggest common factor number is the GCF number.
So the greatest common factor 3897 and 3903 is 3.

Also check out the Least Common Multiple of 3897 and 3903

Properties of GCF 3897 and 3903

(i) The GCF of 3897 and 3903 is associative

GCF of 3897 and 3903 = GCF of 3903 and 3897

Related Greatest Common Factor of 3897

Related Greatest Common Factor of 3903

Frequently Asked Questions on GCF of 3897 and 3903

1. What is the GCF of 3897 and 3903?

Answer: GCF of 3897 and 3903 is 3.

2. What are the Factors of 3897?

Answer: Factors of 3897 are 1, 3, 9, 433, 1299, 3897. There are 6 integers that are factors of 3897. The greatest factor of 3897 is 3897.

3. What are the Factors of 3903?

Answer: Factors of 3903 are 1, 3, 1301, 3903. There are 4 integers that are factors of 3903. The greatest factor of 3903 is 3903.

4. How to Find the GCF of 3897 and 3903?

Answer:

Greatest Common Factor of 3897 and 3903 = 3

Step 1: Find the prime factorization of 3897

3897 = 3 x 3 x 433

Step 2: Find the prime factorization of 3903

3903 = 3 x 1301

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3897 and 3903 is 3