Greatest Common Factor of 3430 and 3436

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 3430, 3436 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3430 and 3436 is 2.

GCF(3430,3436) = 2

GCF of 3430 and 3436

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

GCF of:
and

Greatest Common Factor of 3430 and 3436

GCF of 3430 and 3436 is 2

Prime Factorization of 3430


2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 3430 are 2,5,7. Prime factorization of 3430 in exponential form is:

3430 = 21×51×73

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

∴ So by taking common prime factors GCF of 3430 and 3436 is 2

Greatest Common Factor of 3430 and 3436 by matching factors method

Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430

Factors of 3436

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

1,2,4,859,1718,3436

Greatest Common Factor

We found the factors and prime factorization of 3430 and 3436. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3436 is 2.

Also check out the Least Common Multiple of 3430 and 3436

Properties of GCF 3430 and 3436

(i) The GCF of 3430 and 3436 is associative

GCF of 3430 and 3436 = GCF of 3436 and 3430

Related Greatest Common Factor of 3430

Related Greatest Common Factor of 3436

Frequently Asked Questions on GCF of 3430 and 3436

1. What is the GCF of 3430 and 3436?

Answer: GCF of 3430 and 3436 is 2.

2. What are the Factors of 3430?

Answer: Factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430. There are 16 integers that are factors of 3430. The greatest factor of 3430 is 3430.

3. 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.

4. How to Find the GCF of 3430 and 3436?

Answer:

Greatest Common Factor of 3430 and 3436 = 2

Step 1: Find the prime factorization of 3430

3430 = 2 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 3436

3436 = 2 x 2 x 859

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3430 and 3436 is 2