Greatest Common Factor of 3408 and 3414

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 3408, 3414 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3408 and 3414 is 6.

GCF(3408,3414) = 6

GCF of 3408 and 3414

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

GCF of:
and

Greatest Common Factor of 3408 and 3414

GCF of 3408 and 3414 is 6

Prime Factorization of 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2,3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2,3,569. Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

∴ So by taking common prime factors GCF of 3408 and 3414 is 6

Greatest Common Factor of 3408 and 3414 by matching factors method

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors and prime factorization of 3408 and 3414. The biggest common factor number is the GCF number.
So the greatest common factor 3408 and 3414 is 6.

Also check out the Least Common Multiple of 3408 and 3414

Properties of GCF 3408 and 3414

(i) The GCF of 3408 and 3414 is associative

GCF of 3408 and 3414 = GCF of 3414 and 3408

Related Greatest Common Factor of 3408

Related Greatest Common Factor of 3414

Frequently Asked Questions on GCF of 3408 and 3414

1. What is the GCF of 3408 and 3414?

Answer: GCF of 3408 and 3414 is 6.

2. What are the Factors of 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

3. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

4. How to Find the GCF of 3408 and 3414?

Answer:

Greatest Common Factor of 3408 and 3414 = 6

Step 1: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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 3408 and 3414 is 6