Greatest Common Factor of 3384 and 3390

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 3384, 3390 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3384 and 3390 is 6.

GCF(3384,3390) = 6

GCF of 3384 and 3390

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

GCF of:
and

Greatest Common Factor of 3384 and 3390

GCF of 3384 and 3390 is 6

Prime Factorization of 3384


2 3384
2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 3384 are 2,3,47. Prime factorization of 3384 in exponential form is:

3384 = 23×32×471

Prime Factorization of 3390


2 3390
3 1695
5 565
113 113
1

Prime factors of 3390 are 2,3,5,113. Prime factorization of 3390 in exponential form is:

3390 = 21×31×51×1131

∴ So by taking common prime factors GCF of 3384 and 3390 is 6

Greatest Common Factor of 3384 and 3390 by matching factors method

Factors of 3384

List of positive integer factors of 3384 that divides 3384 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Greatest Common Factor

We found the factors and prime factorization of 3384 and 3390. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3390 is 6.

Also check out the Least Common Multiple of 3384 and 3390

Properties of GCF 3384 and 3390

(i) The GCF of 3384 and 3390 is associative

GCF of 3384 and 3390 = GCF of 3390 and 3384

Related Greatest Common Factor of 3384

Related Greatest Common Factor of 3390

Frequently Asked Questions on GCF of 3384 and 3390

1. What is the GCF of 3384 and 3390?

Answer: GCF of 3384 and 3390 is 6.

2. What are the Factors of 3384?

Answer: Factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384. There are 24 integers that are factors of 3384. The greatest factor of 3384 is 3384.

3. What are the Factors of 3390?

Answer: Factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390. There are 16 integers that are factors of 3390. The greatest factor of 3390 is 3390.

4. How to Find the GCF of 3384 and 3390?

Answer:

Greatest Common Factor of 3384 and 3390 = 6

Step 1: Find the prime factorization of 3384

3384 = 2 x 2 x 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 3390

3390 = 2 x 3 x 5 x 113

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 3384 and 3390 is 6