Greatest Common Factor of 3320 and 3325

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 3320, 3325 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3320 and 3325 is 5.

GCF(3320,3325) = 5

GCF of 3320 and 3325

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

GCF of:
and

Greatest Common Factor of 3320 and 3325

GCF of 3320 and 3325 is 5

Prime Factorization of 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2,5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

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

∴ So by taking common prime factors GCF of 3320 and 3325 is 5

Greatest Common Factor of 3320 and 3325 by matching factors method

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

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

Greatest Common Factor

We found the factors and prime factorization of 3320 and 3325. The biggest common factor number is the GCF number.
So the greatest common factor 3320 and 3325 is 5.

Also check out the Least Common Multiple of 3320 and 3325

Properties of GCF 3320 and 3325

(i) The GCF of 3320 and 3325 is associative

GCF of 3320 and 3325 = GCF of 3325 and 3320

Related Greatest Common Factor of 3320

Related Greatest Common Factor of 3325

Frequently Asked Questions on GCF of 3320 and 3325

1. What is the GCF of 3320 and 3325?

Answer: GCF of 3320 and 3325 is 5.

2. What are the Factors of 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

3. 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.

4. How to Find the GCF of 3320 and 3325?

Answer:

Greatest Common Factor of 3320 and 3325 = 5

Step 1: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

Step 2: Find the prime factorization of 3325

3325 = 5 x 5 x 7 x 19

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 3320 and 3325 is 5