Greatest Common Factor of 3436 and 3440

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 3436, 3440 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3436 and 3440 is 4.

GCF(3436,3440) = 4

GCF of 3436 and 3440

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

GCF of:
and

Greatest Common Factor of 3436 and 3440

GCF of 3436 and 3440 is 4

Prime Factorization of 3436


2 3436
2 1718
859 859
1

Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:

3436 = 22×8591

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

∴ So by taking common prime factors GCF of 3436 and 3440 is 4

Greatest Common Factor of 3436 and 3440 by matching factors method

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1,2,4,859,1718,3436

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

Greatest Common Factor

We found the factors and prime factorization of 3436 and 3440. The biggest common factor number is the GCF number.
So the greatest common factor 3436 and 3440 is 4.

Also check out the Least Common Multiple of 3436 and 3440

Properties of GCF 3436 and 3440

(i) The GCF of 3436 and 3440 is associative

GCF of 3436 and 3440 = GCF of 3440 and 3436

Related Greatest Common Factor of 3436

Related Greatest Common Factor of 3440

Frequently Asked Questions on GCF of 3436 and 3440

1. What is the GCF of 3436 and 3440?

Answer: GCF of 3436 and 3440 is 4.

2. What are the Factors of 3436?

Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.

3. 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.

4. How to Find the GCF of 3436 and 3440?

Answer:

Greatest Common Factor of 3436 and 3440 = 4

Step 1: Find the prime factorization of 3436

3436 = 2 x 2 x 859

Step 2: Find the prime factorization of 3440

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3436 and 3440 is 4