Greatest Common Factor of 3909 and 3917

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 3909, 3917 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3909 and 3917 is 1.

GCF(3909,3917) = 1

GCF of 3909 and 3917

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

GCF of:
and

Greatest Common Factor of 3909 and 3917

GCF of 3909 and 3917 is 1

Prime Factorization of 3909


3 3909
1303 1303
1

Prime factors of 3909 are 3,1303. Prime factorization of 3909 in exponential form is:

3909 = 31×13031

Prime Factorization of 3917


3917 3917
1

Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:

3917 = 39171

∴ So by taking common prime factors GCF of 3909 and 3917 is 1

Greatest Common Factor of 3909 and 3917 by matching factors method

Factors of 3909

List of positive integer factors of 3909 that divides 3909 without a remainder.

1,3,1303,3909

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1,3917

Greatest Common Factor

We found the factors and prime factorization of 3909 and 3917. The biggest common factor number is the GCF number.
So the greatest common factor 3909 and 3917 is 1.

Also check out the Least Common Multiple of 3909 and 3917

Properties of GCF 3909 and 3917

(i) The GCF of 3909 and 3917 is associative

GCF of 3909 and 3917 = GCF of 3917 and 3909

Related Greatest Common Factor of 3909

Related Greatest Common Factor of 3917

Frequently Asked Questions on GCF of 3909 and 3917

1. What is the GCF of 3909 and 3917?

Answer: GCF of 3909 and 3917 is 1.

2. What are the Factors of 3909?

Answer: Factors of 3909 are 1, 3, 1303, 3909. There are 4 integers that are factors of 3909. The greatest factor of 3909 is 3909.

3. What are the Factors of 3917?

Answer: Factors of 3917 are 1, 3917. There are 2 integers that are factors of 3917. The greatest factor of 3917 is 3917.

4. How to Find the GCF of 3909 and 3917?

Answer:

Greatest Common Factor of 3909 and 3917 = 1

Step 1: Find the prime factorization of 3909

3909 = 3 x 1303

Step 2: Find the prime factorization of 3917

3917 = 3917

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 3909 and 3917 is 1