Greatest Common Factor of 3318 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 3318, 3325 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3318 and 3325 is 7.

GCF(3318,3325) = 7

GCF of 3318 and 3325

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

GCF of:
and

Greatest Common Factor of 3318 and 3325

GCF of 3318 and 3325 is 7

Prime Factorization of 3318


2 3318
3 1659
7 553
79 79
1

Prime factors of 3318 are 2,3,7,79. Prime factorization of 3318 in exponential form is:

3318 = 21×31×71×791

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 3318 and 3325 is 7

Greatest Common Factor of 3318 and 3325 by matching factors method

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

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 3318 and 3325. The biggest common factor number is the GCF number.
So the greatest common factor 3318 and 3325 is 7.

Also check out the Least Common Multiple of 3318 and 3325

Properties of GCF 3318 and 3325

(i) The GCF of 3318 and 3325 is associative

GCF of 3318 and 3325 = GCF of 3325 and 3318

Related Greatest Common Factor of 3318

Related Greatest Common Factor of 3325

Frequently Asked Questions on GCF of 3318 and 3325

1. What is the GCF of 3318 and 3325?

Answer: GCF of 3318 and 3325 is 7.

2. What are the Factors of 3318?

Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.

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 3318 and 3325?

Answer:

Greatest Common Factor of 3318 and 3325 = 7

Step 1: Find the prime factorization of 3318

3318 = 2 x 3 x 7 x 79

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 = 7

Step 4: Therefore, the greatest common factor of 3318 and 3325 is 7