Greatest Common Factor of 3430 and 3434

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, 3434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3430 and 3434 is 2.

GCF(3430,3434) = 2

GCF of 3430 and 3434

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

GCF of:
and

Greatest Common Factor of 3430 and 3434

GCF of 3430 and 3434 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 3434


2 3434
17 1717
101 101
1

Prime factors of 3434 are 2,17,101. Prime factorization of 3434 in exponential form is:

3434 = 21×171×1011

∴ So by taking common prime factors GCF of 3430 and 3434 is 2

Greatest Common Factor of 3430 and 3434 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 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1,2,17,34,101,202,1717,3434

Greatest Common Factor

We found the factors and prime factorization of 3430 and 3434. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3434 is 2.

Also check out the Least Common Multiple of 3430 and 3434

Properties of GCF 3430 and 3434

(i) The GCF of 3430 and 3434 is associative

GCF of 3430 and 3434 = GCF of 3434 and 3430

Related Greatest Common Factor of 3430

Related Greatest Common Factor of 3434

Frequently Asked Questions on GCF of 3430 and 3434

1. What is the GCF of 3430 and 3434?

Answer: GCF of 3430 and 3434 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 3434?

Answer: Factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434. There are 8 integers that are factors of 3434. The greatest factor of 3434 is 3434.

4. How to Find the GCF of 3430 and 3434?

Answer:

Greatest Common Factor of 3430 and 3434 = 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 3434

3434 = 2 x 17 x 101

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 3434 is 2