Greatest Common Factor of 3366 and 3371

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 3366, 3371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3366 and 3371 is 1.

GCF(3366,3371) = 1

GCF of 3366 and 3371

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

GCF of:
and

Greatest Common Factor of 3366 and 3371

GCF of 3366 and 3371 is 1

Prime Factorization of 3366


2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 3366 are 2,3,11,17. Prime factorization of 3366 in exponential form is:

3366 = 21×32×111×171

Prime Factorization of 3371


3371 3371
1

Prime factors of 3371 are 3371. Prime factorization of 3371 in exponential form is:

3371 = 33711

∴ So by taking common prime factors GCF of 3366 and 3371 is 1

Greatest Common Factor of 3366 and 3371 by matching factors method

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Factors of 3371

List of positive integer factors of 3371 that divides 3371 without a remainder.

1,3371

Greatest Common Factor

We found the factors and prime factorization of 3366 and 3371. The biggest common factor number is the GCF number.
So the greatest common factor 3366 and 3371 is 1.

Also check out the Least Common Multiple of 3366 and 3371

Properties of GCF 3366 and 3371

(i) The GCF of 3366 and 3371 is associative

GCF of 3366 and 3371 = GCF of 3371 and 3366

Frequently Asked Questions on GCF of 3366 and 3371

1. What is the GCF of 3366 and 3371?

Answer: GCF of 3366 and 3371 is 1.

2. What are the Factors of 3366?

Answer: Factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. There are 24 integers that are factors of 3366. The greatest factor of 3366 is 3366.

3. What are the Factors of 3371?

Answer: Factors of 3371 are 1, 3371. There are 2 integers that are factors of 3371. The greatest factor of 3371 is 3371.

4. How to Find the GCF of 3366 and 3371?

Answer:

Greatest Common Factor of 3366 and 3371 = 1

Step 1: Find the prime factorization of 3366

3366 = 2 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 3371

3371 = 3371

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 3366 and 3371 is 1