Greatest Common Factor of 3316 and 3324

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 3316, 3324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3316 and 3324 is 4.

GCF(3316,3324) = 4

GCF of 3316 and 3324

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

GCF of:
and

Greatest Common Factor of 3316 and 3324

GCF of 3316 and 3324 is 4

Prime Factorization of 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

Prime Factorization of 3324


2 3324
2 1662
3 831
277 277
1

Prime factors of 3324 are 2,3,277. Prime factorization of 3324 in exponential form is:

3324 = 22×31×2771

∴ So by taking common prime factors GCF of 3316 and 3324 is 4

Greatest Common Factor of 3316 and 3324 by matching factors method

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Greatest Common Factor

We found the factors and prime factorization of 3316 and 3324. The biggest common factor number is the GCF number.
So the greatest common factor 3316 and 3324 is 4.

Also check out the Least Common Multiple of 3316 and 3324

Properties of GCF 3316 and 3324

(i) The GCF of 3316 and 3324 is associative

GCF of 3316 and 3324 = GCF of 3324 and 3316

Related Greatest Common Factor of 3316

Related Greatest Common Factor of 3324

Frequently Asked Questions on GCF of 3316 and 3324

1. What is the GCF of 3316 and 3324?

Answer: GCF of 3316 and 3324 is 4.

2. What are the Factors of 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

3. What are the Factors of 3324?

Answer: Factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. There are 12 integers that are factors of 3324. The greatest factor of 3324 is 3324.

4. How to Find the GCF of 3316 and 3324?

Answer:

Greatest Common Factor of 3316 and 3324 = 4

Step 1: Find the prime factorization of 3316

3316 = 2 x 2 x 829

Step 2: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3316 and 3324 is 4