Greatest Common Factor of 3309 and 3316

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 3309, 3316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3309 and 3316 is 1.

GCF(3309,3316) = 1

GCF of 3309 and 3316

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

GCF of:
and

Greatest Common Factor of 3309 and 3316

GCF of 3309 and 3316 is 1

Prime Factorization of 3309


3 3309
1103 1103
1

Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:

3309 = 31×11031

Prime Factorization of 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

∴ So by taking common prime factors GCF of 3309 and 3316 is 1

Greatest Common Factor of 3309 and 3316 by matching factors method

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors and prime factorization of 3309 and 3316. The biggest common factor number is the GCF number.
So the greatest common factor 3309 and 3316 is 1.

Also check out the Least Common Multiple of 3309 and 3316

Properties of GCF 3309 and 3316

(i) The GCF of 3309 and 3316 is associative

GCF of 3309 and 3316 = GCF of 3316 and 3309

Related Greatest Common Factor of 3309

Related Greatest Common Factor of 3316

Frequently Asked Questions on GCF of 3309 and 3316

1. What is the GCF of 3309 and 3316?

Answer: GCF of 3309 and 3316 is 1.

2. What are the Factors of 3309?

Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.

3. What are the Factors of 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

4. How to Find the GCF of 3309 and 3316?

Answer:

Greatest Common Factor of 3309 and 3316 = 1

Step 1: Find the prime factorization of 3309

3309 = 3 x 1103

Step 2: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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 3309 and 3316 is 1