Greatest Common Factor of 3382 and 3384

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 3382, 3384 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3382 and 3384 is 2.

GCF(3382,3384) = 2

GCF of 3382 and 3384

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

GCF of:
and

Greatest Common Factor of 3382 and 3384

GCF of 3382 and 3384 is 2

Prime Factorization of 3382


2 3382
19 1691
89 89
1

Prime factors of 3382 are 2,19,89. Prime factorization of 3382 in exponential form is:

3382 = 21×191×891

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

∴ So by taking common prime factors GCF of 3382 and 3384 is 2

Greatest Common Factor of 3382 and 3384 by matching factors method

Factors of 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1,2,19,38,89,178,1691,3382

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

Greatest Common Factor

We found the factors and prime factorization of 3382 and 3384. The biggest common factor number is the GCF number.
So the greatest common factor 3382 and 3384 is 2.

Also check out the Least Common Multiple of 3382 and 3384

Properties of GCF 3382 and 3384

(i) The GCF of 3382 and 3384 is associative

GCF of 3382 and 3384 = GCF of 3384 and 3382

Related Greatest Common Factor of 3382

Related Greatest Common Factor of 3384

Frequently Asked Questions on GCF of 3382 and 3384

1. What is the GCF of 3382 and 3384?

Answer: GCF of 3382 and 3384 is 2.

2. What are the Factors of 3382?

Answer: Factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382. There are 8 integers that are factors of 3382. The greatest factor of 3382 is 3382.

3. 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.

4. How to Find the GCF of 3382 and 3384?

Answer:

Greatest Common Factor of 3382 and 3384 = 2

Step 1: Find the prime factorization of 3382

3382 = 2 x 19 x 89

Step 2: Find the prime factorization of 3384

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3382 and 3384 is 2