Greatest Common Factor of 47313 and 47319

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 47313, 47319 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47313 and 47319 is 3.

GCF(47313,47319) = 3

GCF of 47313 and 47319

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

GCF of:
and

Greatest Common Factor of 47313 and 47319

GCF of 47313 and 47319 is 3

Prime Factorization of 47313


3 47313
3 15771
7 5257
751 751
1

Prime factors of 47313 are 3,7,751. Prime factorization of 47313 in exponential form is:

47313 = 32×71×7511

Prime Factorization of 47319


3 47319
15773 15773
1

Prime factors of 47319 are 3,15773. Prime factorization of 47319 in exponential form is:

47319 = 31×157731

∴ So by taking common prime factors GCF of 47313 and 47319 is 3

Greatest Common Factor of 47313 and 47319 by matching factors method

Factors of 47313

List of positive integer factors of 47313 that divides 47313 without a remainder.

1,3,7,9,21,63,751,2253,5257,6759,15771,47313

Factors of 47319

List of positive integer factors of 47319 that divides 47319 without a remainder.

1,3,15773,47319

Greatest Common Factor

We found the factors and prime factorization of 47313 and 47319. The biggest common factor number is the GCF number.
So the greatest common factor 47313 and 47319 is 3.

Also check out the Least Common Multiple of 47313 and 47319

Properties of GCF 47313 and 47319

(i) The GCF of 47313 and 47319 is associative

GCF of 47313 and 47319 = GCF of 47319 and 47313

Related Greatest Common Factor of 47313

Related Greatest Common Factor of 47319

Frequently Asked Questions on GCF of 47313 and 47319

1. What is the GCF of 47313 and 47319?

Answer: GCF of 47313 and 47319 is 3.

2. What are the Factors of 47313?

Answer: Factors of 47313 are 1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313. There are 12 integers that are factors of 47313. The greatest factor of 47313 is 47313.

3. What are the Factors of 47319?

Answer: Factors of 47319 are 1, 3, 15773, 47319. There are 4 integers that are factors of 47319. The greatest factor of 47319 is 47319.

4. How to Find the GCF of 47313 and 47319?

Answer:

Greatest Common Factor of 47313 and 47319 = 3

Step 1: Find the prime factorization of 47313

47313 = 3 x 3 x 7 x 751

Step 2: Find the prime factorization of 47319

47319 = 3 x 15773

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

GCF = 3

Step 4: Therefore, the greatest common factor of 47313 and 47319 is 3