Greatest Common Factor of 3409 and 3417

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 3409, 3417 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3409 and 3417 is 1.

GCF(3409,3417) = 1

GCF of 3409 and 3417

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

GCF of:
and

Greatest Common Factor of 3409 and 3417

GCF of 3409 and 3417 is 1

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

Prime Factorization of 3417


3 3417
17 1139
67 67
1

Prime factors of 3417 are 3,17,67. Prime factorization of 3417 in exponential form is:

3417 = 31×171×671

∴ So by taking common prime factors GCF of 3409 and 3417 is 1

Greatest Common Factor of 3409 and 3417 by matching factors method

Factors of 3409

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

1,7,487,3409

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1,3,17,51,67,201,1139,3417

Greatest Common Factor

We found the factors and prime factorization of 3409 and 3417. The biggest common factor number is the GCF number.
So the greatest common factor 3409 and 3417 is 1.

Also check out the Least Common Multiple of 3409 and 3417

Properties of GCF 3409 and 3417

(i) The GCF of 3409 and 3417 is associative

GCF of 3409 and 3417 = GCF of 3417 and 3409

Related Greatest Common Factor of 3409

Related Greatest Common Factor of 3417

Frequently Asked Questions on GCF of 3409 and 3417

1. What is the GCF of 3409 and 3417?

Answer: GCF of 3409 and 3417 is 1.

2. 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.

3. What are the Factors of 3417?

Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.

4. How to Find the GCF of 3409 and 3417?

Answer:

Greatest Common Factor of 3409 and 3417 = 1

Step 1: Find the prime factorization of 3409

3409 = 7 x 487

Step 2: Find the prime factorization of 3417

3417 = 3 x 17 x 67

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3409 and 3417 is 1