Greatest Common Factor of 3342 and 3348

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 3342, 3348 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3342 and 3348 is 6.

GCF(3342,3348) = 6

GCF of 3342 and 3348

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

GCF of:
and

Greatest Common Factor of 3342 and 3348

GCF of 3342 and 3348 is 6

Prime Factorization of 3342


2 3342
3 1671
557 557
1

Prime factors of 3342 are 2,3,557. Prime factorization of 3342 in exponential form is:

3342 = 21×31×5571

Prime Factorization of 3348


2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 3348 are 2,3,31. Prime factorization of 3348 in exponential form is:

3348 = 22×33×311

∴ So by taking common prime factors GCF of 3342 and 3348 is 6

Greatest Common Factor of 3342 and 3348 by matching factors method

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1,2,3,6,557,1114,1671,3342

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348

Greatest Common Factor

We found the factors and prime factorization of 3342 and 3348. The biggest common factor number is the GCF number.
So the greatest common factor 3342 and 3348 is 6.

Also check out the Least Common Multiple of 3342 and 3348

Properties of GCF 3342 and 3348

(i) The GCF of 3342 and 3348 is associative

GCF of 3342 and 3348 = GCF of 3348 and 3342

Related Greatest Common Factor of 3342

Related Greatest Common Factor of 3348

Frequently Asked Questions on GCF of 3342 and 3348

1. What is the GCF of 3342 and 3348?

Answer: GCF of 3342 and 3348 is 6.

2. What are the Factors of 3342?

Answer: Factors of 3342 are 1, 2, 3, 6, 557, 1114, 1671, 3342. There are 8 integers that are factors of 3342. The greatest factor of 3342 is 3342.

3. What are the Factors of 3348?

Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.

4. How to Find the GCF of 3342 and 3348?

Answer:

Greatest Common Factor of 3342 and 3348 = 6

Step 1: Find the prime factorization of 3342

3342 = 2 x 3 x 557

Step 2: Find the prime factorization of 3348

3348 = 2 x 2 x 3 x 3 x 3 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3342 and 3348 is 6