Greatest Common Factor of 3384 and 3385

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, 3385 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3384 and 3385 is 1.

GCF(3384,3385) = 1

GCF of 3384 and 3385

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

GCF of:
and

Greatest Common Factor of 3384 and 3385

GCF of 3384 and 3385 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 3385


5 3385
677 677
1

Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:

3385 = 51×6771

∴ So by taking common prime factors GCF of 3384 and 3385 is 1

Greatest Common Factor of 3384 and 3385 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 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1,5,677,3385

Greatest Common Factor

We found the factors and prime factorization of 3384 and 3385. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3385 is 1.

Also check out the Least Common Multiple of 3384 and 3385

Properties of GCF 3384 and 3385

(i) The GCF of 3384 and 3385 is associative

GCF of 3384 and 3385 = GCF of 3385 and 3384

Related Greatest Common Factor of 3384

Related Greatest Common Factor of 3385

Frequently Asked Questions on GCF of 3384 and 3385

1. What is the GCF of 3384 and 3385?

Answer: GCF of 3384 and 3385 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 3385?

Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.

4. How to Find the GCF of 3384 and 3385?

Answer:

Greatest Common Factor of 3384 and 3385 = 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 3385

3385 = 5 x 677

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 3385 is 1