Greatest Common Factor of 3485 and 3490

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 3485, 3490 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3485 and 3490 is 5.

GCF(3485,3490) = 5

GCF of 3485 and 3490

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

GCF of:
and

Greatest Common Factor of 3485 and 3490

GCF of 3485 and 3490 is 5

Prime Factorization of 3485


5 3485
17 697
41 41
1

Prime factors of 3485 are 5,17,41. Prime factorization of 3485 in exponential form is:

3485 = 51×171×411

Prime Factorization of 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2,5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

∴ So by taking common prime factors GCF of 3485 and 3490 is 5

Greatest Common Factor of 3485 and 3490 by matching factors method

Factors of 3485

List of positive integer factors of 3485 that divides 3485 without a remainder.

1,5,17,41,85,205,697,3485

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors and prime factorization of 3485 and 3490. The biggest common factor number is the GCF number.
So the greatest common factor 3485 and 3490 is 5.

Also check out the Least Common Multiple of 3485 and 3490

Properties of GCF 3485 and 3490

(i) The GCF of 3485 and 3490 is associative

GCF of 3485 and 3490 = GCF of 3490 and 3485

Related Greatest Common Factor of 3485

Related Greatest Common Factor of 3490

Frequently Asked Questions on GCF of 3485 and 3490

1. What is the GCF of 3485 and 3490?

Answer: GCF of 3485 and 3490 is 5.

2. What are the Factors of 3485?

Answer: Factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485. There are 8 integers that are factors of 3485. The greatest factor of 3485 is 3485.

3. What are the Factors of 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

4. How to Find the GCF of 3485 and 3490?

Answer:

Greatest Common Factor of 3485 and 3490 = 5

Step 1: Find the prime factorization of 3485

3485 = 5 x 17 x 41

Step 2: Find the prime factorization of 3490

3490 = 2 x 5 x 349

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3485 and 3490 is 5