Greatest Common Factor of 3384 and 3387

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, 3387 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3384 and 3387 is 3.

GCF(3384,3387) = 3

GCF of 3384 and 3387

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

GCF of:
and

Greatest Common Factor of 3384 and 3387

GCF of 3384 and 3387 is 3

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 3387


3 3387
1129 1129
1

Prime factors of 3387 are 3,1129. Prime factorization of 3387 in exponential form is:

3387 = 31×11291

∴ So by taking common prime factors GCF of 3384 and 3387 is 3

Greatest Common Factor of 3384 and 3387 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 3387

List of positive integer factors of 3387 that divides 3387 without a remainder.

1,3,1129,3387

Greatest Common Factor

We found the factors and prime factorization of 3384 and 3387. The biggest common factor number is the GCF number.
So the greatest common factor 3384 and 3387 is 3.

Also check out the Least Common Multiple of 3384 and 3387

Properties of GCF 3384 and 3387

(i) The GCF of 3384 and 3387 is associative

GCF of 3384 and 3387 = GCF of 3387 and 3384

Related Greatest Common Factor of 3384

Related Greatest Common Factor of 3387

Frequently Asked Questions on GCF of 3384 and 3387

1. What is the GCF of 3384 and 3387?

Answer: GCF of 3384 and 3387 is 3.

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 3387?

Answer: Factors of 3387 are 1, 3, 1129, 3387. There are 4 integers that are factors of 3387. The greatest factor of 3387 is 3387.

4. How to Find the GCF of 3384 and 3387?

Answer:

Greatest Common Factor of 3384 and 3387 = 3

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 3387

3387 = 3 x 1129

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3384 and 3387 is 3