Greatest Common Factor of 47306 and 47313

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 47306, 47313 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47306 and 47313 is 7.

GCF(47306,47313) = 7

GCF of 47306 and 47313

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

GCF of:
and

Greatest Common Factor of 47306 and 47313

GCF of 47306 and 47313 is 7

Prime Factorization of 47306


2 47306
7 23653
31 3379
109 109
1

Prime factors of 47306 are 2,7,31,109. Prime factorization of 47306 in exponential form is:

47306 = 21×71×311×1091

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

∴ So by taking common prime factors GCF of 47306 and 47313 is 7

Greatest Common Factor of 47306 and 47313 by matching factors method

Factors of 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1,2,7,14,31,62,109,217,218,434,763,1526,3379,6758,23653,47306

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

Greatest Common Factor

We found the factors and prime factorization of 47306 and 47313. The biggest common factor number is the GCF number.
So the greatest common factor 47306 and 47313 is 7.

Also check out the Least Common Multiple of 47306 and 47313

Properties of GCF 47306 and 47313

(i) The GCF of 47306 and 47313 is associative

GCF of 47306 and 47313 = GCF of 47313 and 47306

Related Greatest Common Factor of 47306

Related Greatest Common Factor of 47313

Frequently Asked Questions on GCF of 47306 and 47313

1. What is the GCF of 47306 and 47313?

Answer: GCF of 47306 and 47313 is 7.

2. What are the Factors of 47306?

Answer: Factors of 47306 are 1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306. There are 16 integers that are factors of 47306. The greatest factor of 47306 is 47306.

3. 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.

4. How to Find the GCF of 47306 and 47313?

Answer:

Greatest Common Factor of 47306 and 47313 = 7

Step 1: Find the prime factorization of 47306

47306 = 2 x 7 x 31 x 109

Step 2: Find the prime factorization of 47313

47313 = 3 x 3 x 7 x 751

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 47306 and 47313 is 7