Greatest Common Factor of 3400 and 3402

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, 3402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3400 and 3402 is 2.

GCF(3400,3402) = 2

GCF of 3400 and 3402

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

GCF of:
and

Greatest Common Factor of 3400 and 3402

GCF of 3400 and 3402 is 2

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 3402


2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 3402 are 2,3,7. Prime factorization of 3402 in exponential form is:

3402 = 21×35×71

∴ So by taking common prime factors GCF of 3400 and 3402 is 2

Greatest Common Factor of 3400 and 3402 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 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402

Greatest Common Factor

We found the factors and prime factorization of 3400 and 3402. The biggest common factor number is the GCF number.
So the greatest common factor 3400 and 3402 is 2.

Also check out the Least Common Multiple of 3400 and 3402

Properties of GCF 3400 and 3402

(i) The GCF of 3400 and 3402 is associative

GCF of 3400 and 3402 = GCF of 3402 and 3400

Related Greatest Common Factor of 3400

Related Greatest Common Factor of 3402

Frequently Asked Questions on GCF of 3400 and 3402

1. What is the GCF of 3400 and 3402?

Answer: GCF of 3400 and 3402 is 2.

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 3402?

Answer: Factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402. There are 24 integers that are factors of 3402. The greatest factor of 3402 is 3402.

4. How to Find the GCF of 3400 and 3402?

Answer:

Greatest Common Factor of 3400 and 3402 = 2

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 3402

3402 = 2 x 3 x 3 x 3 x 3 x 3 x 7

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3400 and 3402 is 2