Greatest Common Factor of 3402 and 3409

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 3402, 3409 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3402 and 3409 is 7.

GCF(3402,3409) = 7

GCF of 3402 and 3409

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

GCF of:
and

Greatest Common Factor of 3402 and 3409

GCF of 3402 and 3409 is 7

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

Prime Factorization of 3409


7 3409
487 487
1

Prime factors of 3409 are 7,487. Prime factorization of 3409 in exponential form is:

3409 = 71×4871

∴ So by taking common prime factors GCF of 3402 and 3409 is 7

Greatest Common Factor of 3402 and 3409 by matching factors method

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

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1,7,487,3409

Greatest Common Factor

We found the factors and prime factorization of 3402 and 3409. The biggest common factor number is the GCF number.
So the greatest common factor 3402 and 3409 is 7.

Also check out the Least Common Multiple of 3402 and 3409

Properties of GCF 3402 and 3409

(i) The GCF of 3402 and 3409 is associative

GCF of 3402 and 3409 = GCF of 3409 and 3402

Related Greatest Common Factor of 3402

Related Greatest Common Factor of 3409

Frequently Asked Questions on GCF of 3402 and 3409

1. What is the GCF of 3402 and 3409?

Answer: GCF of 3402 and 3409 is 7.

2. 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.

3. What are the Factors of 3409?

Answer: Factors of 3409 are 1, 7, 487, 3409. There are 4 integers that are factors of 3409. The greatest factor of 3409 is 3409.

4. How to Find the GCF of 3402 and 3409?

Answer:

Greatest Common Factor of 3402 and 3409 = 7

Step 1: Find the prime factorization of 3402

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

Step 2: Find the prime factorization of 3409

3409 = 7 x 487

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3402 and 3409 is 7