Greatest Common Factor of 3440 and 3445

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 3440, 3445 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3440 and 3445 is 5.

GCF(3440,3445) = 5

GCF of 3440 and 3445

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

GCF of:
and

Greatest Common Factor of 3440 and 3445

GCF of 3440 and 3445 is 5

Prime Factorization of 3440


2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 3440 are 2,5,43. Prime factorization of 3440 in exponential form is:

3440 = 24×51×431

Prime Factorization of 3445


5 3445
13 689
53 53
1

Prime factors of 3445 are 5,13,53. Prime factorization of 3445 in exponential form is:

3445 = 51×131×531

∴ So by taking common prime factors GCF of 3440 and 3445 is 5

Greatest Common Factor of 3440 and 3445 by matching factors method

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Greatest Common Factor

We found the factors and prime factorization of 3440 and 3445. The biggest common factor number is the GCF number.
So the greatest common factor 3440 and 3445 is 5.

Also check out the Least Common Multiple of 3440 and 3445

Properties of GCF 3440 and 3445

(i) The GCF of 3440 and 3445 is associative

GCF of 3440 and 3445 = GCF of 3445 and 3440

Related Greatest Common Factor of 3440

Related Greatest Common Factor of 3445

Frequently Asked Questions on GCF of 3440 and 3445

1. What is the GCF of 3440 and 3445?

Answer: GCF of 3440 and 3445 is 5.

2. What are the Factors of 3440?

Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.

3. What are the Factors of 3445?

Answer: Factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445. There are 8 integers that are factors of 3445. The greatest factor of 3445 is 3445.

4. How to Find the GCF of 3440 and 3445?

Answer:

Greatest Common Factor of 3440 and 3445 = 5

Step 1: Find the prime factorization of 3440

3440 = 2 x 2 x 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 3445

3445 = 5 x 13 x 53

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 3440 and 3445 is 5