Greatest Common Factor of 3384 and 3389

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, 3389 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3384 and 3389 is 1.

GCF(3384,3389) = 1

GCF of 3384 and 3389

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

GCF of:
and

Greatest Common Factor of 3384 and 3389

GCF of 3384 and 3389 is 1

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 3389


3389 3389
1

Prime factors of 3389 are 3389. Prime factorization of 3389 in exponential form is:

3389 = 33891

∴ So by taking common prime factors GCF of 3384 and 3389 is 1

Greatest Common Factor of 3384 and 3389 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 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1,3389

Greatest Common Factor

We found the factors and prime factorization of 3384 and 3389. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3389 is 1.

Also check out the Least Common Multiple of 3384 and 3389

Properties of GCF 3384 and 3389

(i) The GCF of 3384 and 3389 is associative

GCF of 3384 and 3389 = GCF of 3389 and 3384

Related Greatest Common Factor of 3384

Related Greatest Common Factor of 3389

Frequently Asked Questions on GCF of 3384 and 3389

1. What is the GCF of 3384 and 3389?

Answer: GCF of 3384 and 3389 is 1.

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 3389?

Answer: Factors of 3389 are 1, 3389. There are 2 integers that are factors of 3389. The greatest factor of 3389 is 3389.

4. How to Find the GCF of 3384 and 3389?

Answer:

Greatest Common Factor of 3384 and 3389 = 1

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 3389

3389 = 3389

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3384 and 3389 is 1