Greatest Common Factor of 3363 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 3363, 3371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3363 and 3371 is 1.

GCF(3363,3371) = 1

GCF of 3363 and 3371

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

GCF of:
and

Greatest Common Factor of 3363 and 3371

GCF of 3363 and 3371 is 1

Prime Factorization of 3363


3 3363
19 1121
59 59
1

Prime factors of 3363 are 3,19,59. Prime factorization of 3363 in exponential form is:

3363 = 31×191×591

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 3363 and 3371 is 1

Greatest Common Factor of 3363 and 3371 by matching factors method

Factors of 3363

List of positive integer factors of 3363 that divides 3363 without a remainder.

1,3,19,57,59,177,1121,3363

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 3363 and 3371. The biggest common factor number is the GCF number.
So the greatest common factor 3363 and 3371 is 1.

Also check out the Least Common Multiple of 3363 and 3371

Properties of GCF 3363 and 3371

(i) The GCF of 3363 and 3371 is associative

GCF of 3363 and 3371 = GCF of 3371 and 3363

Related Greatest Common Factor of 3363

Related Greatest Common Factor of 3371

Frequently Asked Questions on GCF of 3363 and 3371

1. What is the GCF of 3363 and 3371?

Answer: GCF of 3363 and 3371 is 1.

2. What are the Factors of 3363?

Answer: Factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363. There are 8 integers that are factors of 3363. The greatest factor of 3363 is 3363.

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 3363 and 3371?

Answer:

Greatest Common Factor of 3363 and 3371 = 1

Step 1: Find the prime factorization of 3363

3363 = 3 x 19 x 59

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 3363 and 3371 is 1