Greatest Common Factor of 3409 and 3416

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, 3416 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3409 and 3416 is 7.

GCF(3409,3416) = 7

GCF of 3409 and 3416

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

GCF of:
and

Greatest Common Factor of 3409 and 3416

GCF of 3409 and 3416 is 7

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 3416


2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 3416 are 2,7,61. Prime factorization of 3416 in exponential form is:

3416 = 23×71×611

∴ So by taking common prime factors GCF of 3409 and 3416 is 7

Greatest Common Factor of 3409 and 3416 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 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Greatest Common Factor

We found the factors and prime factorization of 3409 and 3416. The biggest common factor number is the GCF number.
So the greatest common factor 3409 and 3416 is 7.

Also check out the Least Common Multiple of 3409 and 3416

Properties of GCF 3409 and 3416

(i) The GCF of 3409 and 3416 is associative

GCF of 3409 and 3416 = GCF of 3416 and 3409

Related Greatest Common Factor of 3409

Related Greatest Common Factor of 3416

Frequently Asked Questions on GCF of 3409 and 3416

1. What is the GCF of 3409 and 3416?

Answer: GCF of 3409 and 3416 is 7.

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 3416?

Answer: Factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416. There are 16 integers that are factors of 3416. The greatest factor of 3416 is 3416.

4. How to Find the GCF of 3409 and 3416?

Answer:

Greatest Common Factor of 3409 and 3416 = 7

Step 1: Find the prime factorization of 3409

3409 = 7 x 487

Step 2: Find the prime factorization of 3416

3416 = 2 x 2 x 2 x 7 x 61

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 3409 and 3416 is 7