Greatest Common Factor of 47330 and 47335

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 47330, 47335 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47330 and 47335 is 5.

GCF(47330,47335) = 5

GCF of 47330 and 47335

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

GCF of:
and

Greatest Common Factor of 47330 and 47335

GCF of 47330 and 47335 is 5

Prime Factorization of 47330


2 47330
5 23665
4733 4733
1

Prime factors of 47330 are 2,5,4733. Prime factorization of 47330 in exponential form is:

47330 = 21×51×47331

Prime Factorization of 47335


5 47335
9467 9467
1

Prime factors of 47335 are 5,9467. Prime factorization of 47335 in exponential form is:

47335 = 51×94671

∴ So by taking common prime factors GCF of 47330 and 47335 is 5

Greatest Common Factor of 47330 and 47335 by matching factors method

Factors of 47330

List of positive integer factors of 47330 that divides 47330 without a remainder.

1,2,5,10,4733,9466,23665,47330

Factors of 47335

List of positive integer factors of 47335 that divides 47335 without a remainder.

1,5,9467,47335

Greatest Common Factor

We found the factors and prime factorization of 47330 and 47335. The biggest common factor number is the GCF number.
So the greatest common factor 47330 and 47335 is 5.

Also check out the Least Common Multiple of 47330 and 47335

Properties of GCF 47330 and 47335

(i) The GCF of 47330 and 47335 is associative

GCF of 47330 and 47335 = GCF of 47335 and 47330

Related Greatest Common Factor of 47330

Related Greatest Common Factor of 47335

Frequently Asked Questions on GCF of 47330 and 47335

1. What is the GCF of 47330 and 47335?

Answer: GCF of 47330 and 47335 is 5.

2. What are the Factors of 47330?

Answer: Factors of 47330 are 1, 2, 5, 10, 4733, 9466, 23665, 47330. There are 8 integers that are factors of 47330. The greatest factor of 47330 is 47330.

3. What are the Factors of 47335?

Answer: Factors of 47335 are 1, 5, 9467, 47335. There are 4 integers that are factors of 47335. The greatest factor of 47335 is 47335.

4. How to Find the GCF of 47330 and 47335?

Answer:

Greatest Common Factor of 47330 and 47335 = 5

Step 1: Find the prime factorization of 47330

47330 = 2 x 5 x 4733

Step 2: Find the prime factorization of 47335

47335 = 5 x 9467

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

GCF = 5

Step 4: Therefore, the greatest common factor of 47330 and 47335 is 5