Greatest Common Factor of 3400 and 3408

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 3400, 3408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3400 and 3408 is 8.

GCF(3400,3408) = 8

GCF of 3400 and 3408

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

GCF of:
and

Greatest Common Factor of 3400 and 3408

GCF of 3400 and 3408 is 8

Prime Factorization of 3400


2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 3400 are 2,5,17. Prime factorization of 3400 in exponential form is:

3400 = 23×52×171

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

∴ So by taking common prime factors GCF of 3400 and 3408 is 8

Greatest Common Factor of 3400 and 3408 by matching factors method

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

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

Greatest Common Factor

We found the factors and prime factorization of 3400 and 3408. The biggest common factor number is the GCF number.
So the greatest common factor 3400 and 3408 is 8.

Also check out the Least Common Multiple of 3400 and 3408

Properties of GCF 3400 and 3408

(i) The GCF of 3400 and 3408 is associative

GCF of 3400 and 3408 = GCF of 3408 and 3400

Related Greatest Common Factor of 3400

Related Greatest Common Factor of 3408

Frequently Asked Questions on GCF of 3400 and 3408

1. What is the GCF of 3400 and 3408?

Answer: GCF of 3400 and 3408 is 8.

2. What are the Factors of 3400?

Answer: Factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400. There are 24 integers that are factors of 3400. The greatest factor of 3400 is 3400.

3. 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.

4. How to Find the GCF of 3400 and 3408?

Answer:

Greatest Common Factor of 3400 and 3408 = 8

Step 1: Find the prime factorization of 3400

3400 = 2 x 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 3408

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3400 and 3408 is 8