Greatest Common Factor of 3285 and 3291

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 3285, 3291 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3285 and 3291 is 3.

GCF(3285,3291) = 3

GCF of 3285 and 3291

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

GCF of:
and

Greatest Common Factor of 3285 and 3291

GCF of 3285 and 3291 is 3

Prime Factorization of 3285


3 3285
3 1095
5 365
73 73
1

Prime factors of 3285 are 3,5,73. Prime factorization of 3285 in exponential form is:

3285 = 32×51×731

Prime Factorization of 3291


3 3291
1097 1097
1

Prime factors of 3291 are 3,1097. Prime factorization of 3291 in exponential form is:

3291 = 31×10971

∴ So by taking common prime factors GCF of 3285 and 3291 is 3

Greatest Common Factor of 3285 and 3291 by matching factors method

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1,3,5,9,15,45,73,219,365,657,1095,3285

Factors of 3291

List of positive integer factors of 3291 that divides 3291 without a remainder.

1,3,1097,3291

Greatest Common Factor

We found the factors and prime factorization of 3285 and 3291. The biggest common factor number is the GCF number.
So the greatest common factor 3285 and 3291 is 3.

Also check out the Least Common Multiple of 3285 and 3291

Properties of GCF 3285 and 3291

(i) The GCF of 3285 and 3291 is associative

GCF of 3285 and 3291 = GCF of 3291 and 3285

Related Greatest Common Factor of 3285

Related Greatest Common Factor of 3291

Frequently Asked Questions on GCF of 3285 and 3291

1. What is the GCF of 3285 and 3291?

Answer: GCF of 3285 and 3291 is 3.

2. What are the Factors of 3285?

Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.

3. What are the Factors of 3291?

Answer: Factors of 3291 are 1, 3, 1097, 3291. There are 4 integers that are factors of 3291. The greatest factor of 3291 is 3291.

4. How to Find the GCF of 3285 and 3291?

Answer:

Greatest Common Factor of 3285 and 3291 = 3

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 3291

3291 = 3 x 1097

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3285 and 3291 is 3