Greatest Common Factor of 3424 and 3430

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 3424, 3430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3424 and 3430 is 2.

GCF(3424,3430) = 2

GCF of 3424 and 3430

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

GCF of:
and

Greatest Common Factor of 3424 and 3430

GCF of 3424 and 3430 is 2

Prime Factorization of 3424


2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 3424 are 2,107. Prime factorization of 3424 in exponential form is:

3424 = 25×1071

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

∴ So by taking common prime factors GCF of 3424 and 3430 is 2

Greatest Common Factor of 3424 and 3430 by matching factors method

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

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

Greatest Common Factor

We found the factors and prime factorization of 3424 and 3430. The biggest common factor number is the GCF number.
So the greatest common factor 3424 and 3430 is 2.

Also check out the Least Common Multiple of 3424 and 3430

Properties of GCF 3424 and 3430

(i) The GCF of 3424 and 3430 is associative

GCF of 3424 and 3430 = GCF of 3430 and 3424

Related Greatest Common Factor of 3424

Related Greatest Common Factor of 3430

Frequently Asked Questions on GCF of 3424 and 3430

1. What is the GCF of 3424 and 3430?

Answer: GCF of 3424 and 3430 is 2.

2. What are the Factors of 3424?

Answer: Factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. There are 12 integers that are factors of 3424. The greatest factor of 3424 is 3424.

3. 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.

4. How to Find the GCF of 3424 and 3430?

Answer:

Greatest Common Factor of 3424 and 3430 = 2

Step 1: Find the prime factorization of 3424

3424 = 2 x 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 3430

3430 = 2 x 5 x 7 x 7 x 7

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 3424 and 3430 is 2