Greatest Common Factor of 3325 and 3328

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 3325, 3328 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3325 and 3328 is 1.

GCF(3325,3328) = 1

GCF of 3325 and 3328

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

GCF of:
and

Greatest Common Factor of 3325 and 3328

GCF of 3325 and 3328 is 1

Prime Factorization of 3325


5 3325
5 665
7 133
19 19
1

Prime factors of 3325 are 5,7,19. Prime factorization of 3325 in exponential form is:

3325 = 52×71×191

Prime Factorization of 3328


2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 3328 are 2,13. Prime factorization of 3328 in exponential form is:

3328 = 28×131

∴ So by taking common prime factors GCF of 3325 and 3328 is 1

Greatest Common Factor of 3325 and 3328 by matching factors method

Factors of 3325

List of positive integer factors of 3325 that divides 3325 without a remainder.

1,5,7,19,25,35,95,133,175,475,665,3325

Factors of 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Greatest Common Factor

We found the factors and prime factorization of 3325 and 3328. The biggest common factor number is the GCF number.
So the greatest common factor 3325 and 3328 is 1.

Also check out the Least Common Multiple of 3325 and 3328

Properties of GCF 3325 and 3328

(i) The GCF of 3325 and 3328 is associative

GCF of 3325 and 3328 = GCF of 3328 and 3325

Related Greatest Common Factor of 3325

Related Greatest Common Factor of 3328

Frequently Asked Questions on GCF of 3325 and 3328

1. What is the GCF of 3325 and 3328?

Answer: GCF of 3325 and 3328 is 1.

2. What are the Factors of 3325?

Answer: Factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325. There are 12 integers that are factors of 3325. The greatest factor of 3325 is 3325.

3. What are the Factors of 3328?

Answer: Factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328. There are 18 integers that are factors of 3328. The greatest factor of 3328 is 3328.

4. How to Find the GCF of 3325 and 3328?

Answer:

Greatest Common Factor of 3325 and 3328 = 1

Step 1: Find the prime factorization of 3325

3325 = 5 x 5 x 7 x 19

Step 2: Find the prime factorization of 3328

3328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

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 3325 and 3328 is 1