Greatest Common Factor of 3430 and 3437

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, 3437 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3430 and 3437 is 7.

GCF(3430,3437) = 7

GCF of 3430 and 3437

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

GCF of:
and

Greatest Common Factor of 3430 and 3437

GCF of 3430 and 3437 is 7

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 3437


7 3437
491 491
1

Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:

3437 = 71×4911

∴ So by taking common prime factors GCF of 3430 and 3437 is 7

Greatest Common Factor of 3430 and 3437 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 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1,7,491,3437

Greatest Common Factor

We found the factors and prime factorization of 3430 and 3437. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3437 is 7.

Also check out the Least Common Multiple of 3430 and 3437

Properties of GCF 3430 and 3437

(i) The GCF of 3430 and 3437 is associative

GCF of 3430 and 3437 = GCF of 3437 and 3430

Related Greatest Common Factor of 3430

Related Greatest Common Factor of 3437

Frequently Asked Questions on GCF of 3430 and 3437

1. What is the GCF of 3430 and 3437?

Answer: GCF of 3430 and 3437 is 7.

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 3437?

Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.

4. How to Find the GCF of 3430 and 3437?

Answer:

Greatest Common Factor of 3430 and 3437 = 7

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 3437

3437 = 7 x 491

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3430 and 3437 is 7