Greatest Common Factor of 3280 and 3285

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 3280, 3285 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3280 and 3285 is 5.

GCF(3280,3285) = 5

GCF of 3280 and 3285

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

GCF of:
and

Greatest Common Factor of 3280 and 3285

GCF of 3280 and 3285 is 5

Prime Factorization of 3280


2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 3280 are 2,5,41. Prime factorization of 3280 in exponential form is:

3280 = 24×51×411

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

∴ So by taking common prime factors GCF of 3280 and 3285 is 5

Greatest Common Factor of 3280 and 3285 by matching factors method

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

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

Greatest Common Factor

We found the factors and prime factorization of 3280 and 3285. The biggest common factor number is the GCF number.
So the greatest common factor 3280 and 3285 is 5.

Also check out the Least Common Multiple of 3280 and 3285

Properties of GCF 3280 and 3285

(i) The GCF of 3280 and 3285 is associative

GCF of 3280 and 3285 = GCF of 3285 and 3280

Related Greatest Common Factor of 3280

Related Greatest Common Factor of 3285

Frequently Asked Questions on GCF of 3280 and 3285

1. What is the GCF of 3280 and 3285?

Answer: GCF of 3280 and 3285 is 5.

2. What are the Factors of 3280?

Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.

3. 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.

4. How to Find the GCF of 3280 and 3285?

Answer:

Greatest Common Factor of 3280 and 3285 = 5

Step 1: Find the prime factorization of 3280

3280 = 2 x 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

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 3280 and 3285 is 5