Greatest Common Factor of 3285 and 3290

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, 3290 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3285 and 3290 is 5.

GCF(3285,3290) = 5

GCF of 3285 and 3290

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

GCF of:
and

Greatest Common Factor of 3285 and 3290

GCF of 3285 and 3290 is 5

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 3290


2 3290
5 1645
7 329
47 47
1

Prime factors of 3290 are 2,5,7,47. Prime factorization of 3290 in exponential form is:

3290 = 21×51×71×471

∴ So by taking common prime factors GCF of 3285 and 3290 is 5

Greatest Common Factor of 3285 and 3290 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 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Greatest Common Factor

We found the factors and prime factorization of 3285 and 3290. The biggest common factor number is the GCF number.
So the greatest common factor 3285 and 3290 is 5.

Also check out the Least Common Multiple of 3285 and 3290

Properties of GCF 3285 and 3290

(i) The GCF of 3285 and 3290 is associative

GCF of 3285 and 3290 = GCF of 3290 and 3285

Related Greatest Common Factor of 3285

Related Greatest Common Factor of 3290

Frequently Asked Questions on GCF of 3285 and 3290

1. What is the GCF of 3285 and 3290?

Answer: GCF of 3285 and 3290 is 5.

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 3290?

Answer: Factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. There are 16 integers that are factors of 3290. The greatest factor of 3290 is 3290.

4. How to Find the GCF of 3285 and 3290?

Answer:

Greatest Common Factor of 3285 and 3290 = 5

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 3290

3290 = 2 x 5 x 7 x 47

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3285 and 3290 is 5