Greatest Common Factor of 3314 and 3317

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 3314, 3317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3314 and 3317 is 1.

GCF(3314,3317) = 1

GCF of 3314 and 3317

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

GCF of:
and

Greatest Common Factor of 3314 and 3317

GCF of 3314 and 3317 is 1

Prime Factorization of 3314


2 3314
1657 1657
1

Prime factors of 3314 are 2,1657. Prime factorization of 3314 in exponential form is:

3314 = 21×16571

Prime Factorization of 3317


31 3317
107 107
1

Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:

3317 = 311×1071

∴ So by taking common prime factors GCF of 3314 and 3317 is 1

Greatest Common Factor of 3314 and 3317 by matching factors method

Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1,2,1657,3314

Factors of 3317

List of positive integer factors of 3317 that divides 3317 without a remainder.

1,31,107,3317

Greatest Common Factor

We found the factors and prime factorization of 3314 and 3317. The biggest common factor number is the GCF number.
So the greatest common factor 3314 and 3317 is 1.

Also check out the Least Common Multiple of 3314 and 3317

Properties of GCF 3314 and 3317

(i) The GCF of 3314 and 3317 is associative

GCF of 3314 and 3317 = GCF of 3317 and 3314

Related Greatest Common Factor of 3314

Related Greatest Common Factor of 3317

Frequently Asked Questions on GCF of 3314 and 3317

1. What is the GCF of 3314 and 3317?

Answer: GCF of 3314 and 3317 is 1.

2. What are the Factors of 3314?

Answer: Factors of 3314 are 1, 2, 1657, 3314. There are 4 integers that are factors of 3314. The greatest factor of 3314 is 3314.

3. What are the Factors of 3317?

Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.

4. How to Find the GCF of 3314 and 3317?

Answer:

Greatest Common Factor of 3314 and 3317 = 1

Step 1: Find the prime factorization of 3314

3314 = 2 x 1657

Step 2: Find the prime factorization of 3317

3317 = 31 x 107

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 3314 and 3317 is 1